Question

The diameter of a sphere is measured to be 4.17 in.

(a) Find the radius of the sphere in centimeters.
cm

(b) Find the surface area of the sphere in square centimeters.
cm2

(c) Find the volume of the sphere in cubic centimeters.
cm3​

Answer 1

Explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

a).

We can find the radius using the formula

`radius = (diameter)/(2)`

From the question

diameter = 10.59 cm

So we have

`radius = (10.59)/(2)`

radius = 5.30 cm

b).

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

Surface area = 353 cm²

c).

Volume of a sphere is given by

`(4)/(3) \pi {r}^(3)`

r = 5.30

The volume of the sphere is

`(4)/(3) ( {5.30})^(3) \pi`

= 623.61451

We have the answer as

Volume = 623.6 cm³

Hope this helps you