Question

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

Answer 1

Step-by-step 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

$radius = \frac{diameter}{2}$

From the question

diameter = 10.59 cm

So we have

$radius = \frac{10.59}{2}$

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

$\frac{4}{3} \pi {r}^{3}$

r = 5.30

The volume of the sphere is

$\frac{4}{3} ( {5.30})^{3} \pi$

= 623.61451

We have the answer as

Volume = 623.6 cm³

Hope this helps you