Mathematics College

Fine the volume of both shapes then add

Answers

Answer 1

The volume of the first and second solid shapes are 3014.4m³ and 360ft³ respectively.

How to calculate for the volume of the solid shapes

The first shape comprises of a cone and a cylinder, and the volume is derived as follows:

volume of the cone = 1/3 × 3.14 × (8m)² × 5m

volume of the cone = 1004.8m³

volume of the cylinder = 3.14 × (8m)² × 0m

volume of the cylinder = 2009.6 m³

volume of the first solid shape = 1004.8m³ + 2009.6 m³

volume of the first solid shape = 3014.4m³

The second solid shape comprises of a trianglular prism and a cuboid

volume of the trianglular prism = base area × height

base area = 1/2 × 6ft × 4ft = 12ft²

volume of the trianglular prism = 12ft² × 6ft

volume of the trianglular prism = 72ft³

volume of the cuboid = 12ft × 6ft × 4ft

volume of the cuboid = 288ft³

volume of the second solid shape = 72ft³ + 288ft³

volume of the second solid shape = 360ft³

Therefore, the volume of the first and second solid shapes are 3014.4m³ and 360ft³ respectively.

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Related Questions

21x² - 2x + 1/2 =0

find the following quadratic equation by factorization method
PLESE SOMEONE HELP

Answers

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Write an equation for the function graphed below

Answers

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

How to define the rational function?

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Can someone help me please? ASAP

Answers

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

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