Question

What is the volume of a sphere with a diameter of 9.9 cm, rounded to the nearest

tenth of a cubic centimeter?

Answer 1

508.0

Explanation:

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{9.9}{2}=4.95

radius=

2

diameter

​

=

2

9.9

​

=4.95

centimeters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (4.95)^3

3

4

​

π(4.95)

3

508.047368364254

508.047368364254

Use calculator

\approx 508.0\text{ cm}^3

≈508.0 cm

3

Answer 2

the volume of the sphere is 507.78981 cm^3

Explanation:

The computation of the volume of the sphere is given below:

Given that

The Diameter is 9.9 cm

So, the volume of the sphere is

= 4 ÷ 3 ×π × r^3

= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3

= 4 ÷ 3 × 3.14 × 4.95^3

= 507.78981 cm^3

Here r denotes the radius

And, the radius would be comes by dividing the diameter from 2

Hence, the volume of the sphere is 507.78981 cm^3