A small lead pencil has a cylindrical base and a conical point.
r = 0.5cm
2 cm
15 cm
Find the slant height of the cone. (Use the Pythagorean theorem.) Round to the nearest tenth. (you don't need to type the unit)
Slant Height-
Find the surface area of the whole pencil. (round to the nearest tenth, Pi=3.14)
Area of the whole pencil=

A Small Lead Pencil Has A Cylindrical Base And A Conical Point.r = 0.5cm2 Cm15 CmFind The Slant Height

Answers

Answer 1

9514 1404 393

Answer:

slant height: 2.1 cmpencil area: 51.12 cm^2

Step-by-step explanation:

The slant height (s) is the hypotenuse of the right triangle with legs of 2 cm and 0.5 cm.

  s^2 = 2^2 + 0.5^2 = 4 + 0.25

  s = √4.25 ≈ 2.0616 ≈ 2.1

The slant height is about 2.1 cm.

__

The surface area of the whole pencil is the sum of the areas of the circular base, the lateral area of the cylindrical part, and the lateral area of the cone.

  A = πr^2 +2πrh +πrs

  A = πr(r +2h +s) = (3.14)(0.5 cm)(0.5 cm + 2×15 cm + 2.1 cm)

  A ≈ 51.12 cm^2

The area of the whole pencil is about 51.12 cm^2.


Related Questions

Kirk drew a scale drawing of a petting zoo. The scale he used was 8 centimeters : 5 meters. The goat pen is 24 centimeters long in the drawing. How long is the actual pen?

Answers

The actual length of the pen is 15 meters

How to determine the actual length of the pen?

The given parameters can be represented using the following ratio

Ratio = 8 centimeters : 5 meters

The scale length of the goat pen is given as

Scale length = 24 centimeters

So, we have

24 centimeters : Actual length = 8 centimeters : 5 meters

Rewrite as

24 : Actual length = 8 : 5 meters

Express as fraction

Actual length/24 = 5 meters/8

Multiply by 8

Actual length = 15 meters

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Range is the difference between the highest and the lowest term.

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Answers

We're assuming the TV is a rectangle, meaning all corners have right angles.

From the given information, we have a right triangle with a height of 39 inches, hypotenuse, of 80 inches, and an unknown base width.

Using Pythagorean's theorem:

[tex]a^2+b^2=c^2[/tex]

[tex]b=\sqrt{c^2-a^2}[/tex]

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

15min

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Answers

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