Volume of a Sphere
Name:_______________________________
Date:__________________Period:________
Formula for volume of a sphere:
Where r is the radius of the sphere.
Find the volume of each sphere. Use 3.14 for pi and round all answers to the nearest hundredth.
6 cm
14 in
What would be the volume of a sphere with a
diameter of 13 cm?
2.5 cm
ANSWER THE FOLLOWING IN TERMS OF π
Approximately how much air would be needed to fill a
basketball with a diameter of 30 cm?
Find the diameter of a globe that has a volume of 523
cubic inches.
D124 NOTES-Volume of a Sphere
Name:_______________________________
ANSWER KEY
Date:__________________Period:________
Formula for volume of a sphere:
Where r is the radius of the sphere.
Find the volume of each sphere. Use 3.14 for pi and round all answers to the nearest hundredth.
6 cm
V=
4
x 3.14 x 63 =904.32 cm3
3
14 in
V=
4
x 3.14 x 73 = 1436.03 cm3
3
What would be the volume of a sphere with a
diameter of 13 cm?
2.5 cm
V=
4
x 3.14 x 2.53 = 65.42 cm3
3
ANSWER THE FOLLOWING IN TERMS OF π
Approximately how much air would be needed to fill a
basketball with a diameter of 30 cm?
V=
4
x 3.14 x 153 = 14,130 cm3
3
V=
4
x 3.14 x 6.53 = 1149.76 cm3
3
Find the diameter of a globe that has a volume of 523
cubic inches.
523
=
x 3.14 x r3
523
= 4.187 x r3
523/4.187 = 4.187 x r3/4.187
124.91 = r3
√
=√
5 = r
With a radius of 5 the diameter
is 10 inches.