a tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leveled off at the 38 cm mark above the base


(i)the capacity of the tin


(ii)the volume of the cake mixture in the tin in cm^3

(iii)volume of the space unoccupied by the cake in cm^3

Answers

Answer 1

Answer:

(a) V = 51200 cubic cm

(b) V' = 38912 cubic cm

(c) V'' = V - V' = 12288 cubic cm

Step-by-step explanation:

side of the square base, s = 32 cm

height, h = 50 cm

height of cake mixture, h' = 38 cm

(a) The capacity of the tin is the volume.  

Capacity of tin, V =  s x s x h = 32 x 32 x 50 = 51200 cubic cm

(b) The volume of the cake mixture is

V' =  s x s x h'

V' = 32 x 32 x 38 = 38912 cubic cm

(c) Volume of unoccupied space is

V'' = V - V' = 51200 - 38912 = 12288 cubic cm


Related Questions

If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?

Answers

Answer:

you will pay back $4,984 in total and you will owe 984 in interest alone just in case you need that too.

What geometric figure is the union of two non-collinear rays AB and AC?
ZBAC
ΔΑΒC.
BC
AB

Answers

BC is the answer love... have fun on that I-Ready Diagnostic

HELP I CANT FAIL AGAIN

Answers

Answer:

49

Step-by-step explanation:

I’m giving brainlest pls help meeee

Answers

x - 8y = - 80





You move the expression to the left, multiply both sides, reorder the terms, and change the signs.
X-8y = -80 You move the expression to the left multiply both sides re-order the terms and change the signs

Does anyone know this

Answers

Answer:

8 2/3

Step-by-step explanation:

26/3

CONVERT TO A MIXED FRACTION

8 2/3

Answer:

Step-by-step explanation:

3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]

4*3+1/4 * 8/3

13/4*8/3

13*8/4*3

104/12

26/3

not :when u change division sign into multiplication then do the reciprocal .

what is the answer to this problem?

Answers

Answer is c because if count the sides of how many spaces are there

what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)

Answers

Pythagorean Theorem.

21^2 - 15^2 = x^2

X^2 = 216

X=14.7

which structure is found in the cytoplasm of a typical plant cell?​

Answers

The answer is ribosomes.

Answer:

Lysosomes

Step-by-step explanation:

fractions are equal to 12 /18 is

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

         2/3 =   4/6 =   6/9        =  8/12

= 10/15 = 12/18 = 14/21 = 16/24

= 18/27 = 20/30 = 22/33 = 24/36

= 26/39 = 28/42 = 30/45 = 32/48

= 34/51 = 36/54 = 38/57 = 40/60

= 42/63 = 44/66 = 46/69 = 48/72

= 50/75 = 52/78 = 54/81 = 56/84

= 58/87 = 60/90 = 62/93 = 64/96

= 66/99 = 68/102 = 70/105 = 72/108

= 74/111 = 76/114 = 78/117 = 80/120

= 82/123 = 84/126 = 86/129 = 88/132

= 90/135 = 92/138 = 94/141 = 96/144

= 98/147 = 100/150 = 102/153 = 104/156

= 106/159 = 108/162 = 110/165 = 112/168

= 114/171 = 116/174 = 118/177 = 120/180

= 122/183 = 124/186 = 126/189 = 128/192

= 130/195 = 132/198 = 134/201 = 136/204

= 138/207 = 140/210 = 142/213 = 144/216

= 146/219 = 148/222 = 150/225 = 152/228

= 154/231 = 156/234 = 158/237 = 160/240

= 162/243 = 164/246 = 166/249 = 168/252

= 170/255 = 172/258 = 174/261 = 176/264

= 178/267 = 180/270 = 182/273 = 184/276

= 186/279 = 188/282 = 190/285 = 192/288

= 194/291 = 196/294 = 198/297 = 200/300

Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.

Answers

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

Answer:

U=16,206+22.2 ^. x

Step-by-step explanation:

Please help!
From the table what are the x and y intercepts in coordinate form?

Answers

Answer:

(0,3) is the x intercept

(3,0) is the y intercept

Step-by-step explanation:

When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept

HELP! I'll give brainliest

Answers

Answer: A!

Step-by-step explanation:

find the missing term in the sequence 3 ,-1 ,- 5 ____ -13

a. -6
b. -7
c. -9
d. -11​

Answers

Answer:

C. -9

Step-by-step explanation:

The pattern is clearly subtracting 4 each time (or adding -4).

-5 - 4 = -9

the answer would be c.

Please help me! i have to find the cube root

Answers

Answer: 7/4

Step-by-step explanation:

Answer:

Exact Form:

7/4

Decimal Form:

1.75

Mixed Number Form:

1 3/4

Step-by-step explanation:

Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.

Answers

Answer:

I think that the answer is true (explanation might not be 100% accurate)

Step-by-step explanation:

Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85

Answers

Answer:

$29, that is the answer for this question


Which expression below has the same value?

Answers

Answer:A

Step-by-step explanation:

Answer:

15/8

Step-by-step explanation:

You will want all numbers to have the same common denominator, then you can add them together.

1 = 8/8

1/2 = 4/8

1/4 = 2/8

1/8 = 1/8

[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]

Calculate the marked price (original price) if

a. After 25% discount, the price of an article is Rs 7500,


please with explanation and calculation the answer should be Rs 10 000

Answers

To get the original price we are going to;

1) Subtract the discount percentage from 100 to get the original price percentage.

100 - 25 = 75 %

2) Now we are going to multiply the discounted price by 100.

7500 x 100 = 750,000

3) Now we are going to divide the discounted price by the original price percentage.

750,000 / 75 = 10,000

Therefore the original price is Rs 10,000

HELPP i'll give brainliest for the CORRECT answer

Answers

Answer:

a = 105 in²

Step-by-step explanation:

Front and back, triangles

a = 2 * (1/2)(5 * 6)

a = 30

Sides, squares

a = 3 * (5 * 5)

a = 75

Total

a = 30 + 75

a = 105 in²

PLEASE I NEED HELP Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .

Glass A with a height of 2.1 inches and a diameter of 5 inches is _____
to contain the entire chocolate milkshake.

Glass B with a height of 2.7 inches and a radius of 4.6 inches is_____
to contain the entire chocolate milkshake.

Glass C with a height of 3.1 inches and a radius of 2.7 inches is ____
to contain the entire chocolate milkshake.
choices are too small and too large

Answers

Answer:

Glass c

Step-by-step explanation:yw :)

a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit​

Answers

Answer:

$120,000

Step-by-step explanation:

Provided that  

The price of the new car is $750,000

And, the saving percent is 16%

We need to calculate out the saving amount for the deposit

Therefore, the saving amount is

= $750,000 × 16%

= $120,000

Basically we multiply these two things to each other in order to get the saving amount

A right circular cone has a radius of 6 inches and a slant length of 10 inches. A right cylinder has a radius of 8 inches and a height of 12 inches. How many cones full of water are needed to fill the cylinder

Answers

Answer:

6.4  cones full of water

Step-by-step explanation:

Given data

Radius of cone= 6inches

Slant height= 10 inches

Volume of cone= 1/3πr^2h

V= 1/3*3.142*6^2*10

V=  1/3*3.142*36*10

V=  1/3*1131.12

V= 377.04 cubic inches

Radius of right cylinder= 8 inches

Height= 12 inches

Volume of cylinder= πr^2h

Volume= 3.142*8^2*12

Volume= 3.142*64*12

Volume=2413.056 cubic inches

Hence the number of cone full of water needed to fill the cylinder is

=Volume of cylinder/volume of cone

=2413.056/377.04

=6.4  cones full of water

Find the area of the shaded region.

Answers

Answer:

12.86 sq ft

Step-by-step explanation:

Find area of square and subtract out area of semi-circle; the diameter of the semi-circle equals the side of the square, which is 4 so radius is 2

A(square) = 4 x 4 = 16

A(semi-circle) = πr²/2

= 4π/2 or 2π

Area of Shaded Region = 16-3.14 which is 12.86

If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)

Answers

Answer: I think 100,000

Step-by-step explanation:

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

z2+4z-165=(z-11)(z+-15)

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

A.

B.

C.

D.

Choose the one that would not fall on this line

Answers

The answer is B (2, 1)

Explanation:

The y-coordinate of the second point is not twice of its x-coordinate, hence it does not fall on the line.

at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost​

Answers

Answer:

0.20

Step-by-step explanation:

find the value of x

Answers

Answer:

x = 25

Step-by-step explanation:

40 is a vertical angle equal to the angle to the right of 2x.

2x, 40, and 90 are supplementary angles (they add up to 180)

2x + 40 + 90 = 180

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25

Answer:

they are right

Step-by-step explanation:

slove
[tex]4 \div 2(5 - 8)[/tex]​

Answers

Answer:

Hello! answer: -6

4 ÷ 2 = 2 5 - 8 = -3

2(-3) = -6 therefore the answer is -6 hope that helps!

-6 is the correct answer !!
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