Question

What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.

What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth.
6
What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest
hundredth

Answer 1

5. 4186.67 in³

6. 1436.03 ft³

7. 3052.08 cm³

Explanation:

5. Determination of the volume of the sphere.

Radius (r) = 10 in

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 10³

V = 4/3 × 3.14 × 1000

V = 4186.67 in³

6. Determination of the volume of the sphere.

Radius (r) = 7 ft

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 7³

V = 4/3 × 3.14 × 343

V = 1436.03 ft³

7. Determination of the volume of the sphere.

We'll begin by calculating the radius. This can be obtained as follow:

Diameter (d) = 18 cm

Radius (r) =?

r = d/2

r = 18/2

r = 9 cm

Finally, we shall determine the volume of the sphere. This can be obtained as follow:

Radius (r) = 9 cm

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 9³

V = 4/3 × 3.14 × 729

V = 3052.08 cm³