Cylinder Volume
What is the volume of a cylinder radius = 3 inches height = 7 inches
63π in³
V=π(3)2(7)=π(9)(7)=63π
What is the volume of the cone radius = 9 height = 6
162π units³
V=1/3 πr2h
V= 1/3 π (9)2 (6)
=1/3π (81)(6)
= 1/3 π (486) = 162 π
Find the volume of the sphere radius = 9
972π units³
v=4/3π (9)3
=4/3 π (729)
= 2916/3 π = 972 π
What is the definition of "Volume"
The amount of space something takes up
What is the volume of the cylinder radius = 2 feet height = 10 feet
40π ft³
V=π(2)2(10)=π(4)(10)=40π
What is the volume of the cone? radius = 2 mm height = 60 mm
80π mm³
V=1/3 π (2)2(60)
= 1/3π (240)
= 80π
Find the volume of the sphere radius = 3
36π units³
V=4/3π (3)3=4/3π (27)= 108/3π=36π
What is the volume of a pipe that is 8 cm across and 12 cm tall?
192π cm³
V=π(4)2(12)=π(16)(12)=192π
A snow cone is 18 cm across and 9 cm tall. What is the volume of the snow cone?
243π cm³
V= 1/3πr2h
= 1/3π(9)2(9)
= 1/3π (81)(9)
= 1/3π (729)= 243 π
A tennis ball measuring 5 inches across has what volume?
20.8π inches³
V=4/3π(2.5)3= 4/3π (15.625)= 62.5/3π =20.8π
What is the volume of a bean can is 90 meters cubed. If the diameter is 6 meters across, what is the height? Round to the nearest tenth.
3.2 or 10/π
V=πr^2h
h=V/ πr^2
h=90/π(3)^2= 90/π×9 =90/28.27433 = 3.18m
The volume of a funnel is 216 inches cubed. If the radius is 3 inches, what is the height? Round to the nearest whole number.
22.9= 23
V=1/3π (3)2h
H= 3(216)/9π =648/9π = 22.9
An exercise ball measuring 3.2 feet across has what volume of air?
5.5π ft³4
v= 4/3πr3
= 4/3 π (1.6)3 =4/3π (4.096)
= 16.384/3π= 5.5π
Give the equation for finding the volume of a sphere
4/3πr3