Volume of Cylinders
A can of soup has a radius of 3 cm and a height of 5 cm. What is the volume of the can of soup?
141.3 cm3
r2 x ๐ x h = volume
32 x 3.14 x 5 = 141.3
A traffic cone has a radius of 2.5 ft and is 10 ft tall. What is the volume?
65.42ft3
1/3 ๐ (r2)(h) = volume
1/3 ๐ (2.52)(10) =65.42
Sarah buying a ball at the store and wants to know the volume. The radius is 2 inches. What is the volume?
about 33.493 in3
(4/3)๐ r3 = volume
23 = 8
(4/3)(๐ )(8) = 33.493
What is the formula for volume of cylinder?
V=Bh
What is the length of a rectangular prism with a height of 12m and a width of 10m? The volume of the prism is 1140.
9.5
A water bottle that is 11.5 inches tall and a diameter of 4.8 inches. What is the volume?
207.9936 in3
r2 x ๐ x h = volume
2.42 x ๐ x 11.5 = 207.9936
A sandcastle is built on the beach. The castle is a really tall cone with a height of 2.75 ft tall and a radius of 1.8 ft. What is the volume of the sand? round to the nearest hundredth
9.33 ft3
1/3๐ (r2)(h) = volume
1/3๐ (1.82)(2.75) = 9.3258
A gumball has a diameter of 23 millimeters. What is the volume of the gumball? round to the nearest hundredth
6367.39 mm3
(4/3)๐ r3 = volume
(4/3)๐ x 11.53 = 6367.387
What is the formula for Volume of a cone?
V= (1/3)ฯr^2h
What is the height of a cone with a radius of 9 cm and a volume of 135ฯ?
5
A circular bucket is 11.5 feet tall and 2.3 inches for a radius. What is the volume?
191.02 ft3
r2 x ๐ x h = volume
2.3 2x 11.5 x ๐ = 191.02
An ice-cream cone is 12 inches tall and has a diameter of 7 inches. What is the volume?
153.86 in3
1/3๐ (r2)(h) = volume 7/2 = 3.5
1/3๐ (3.52)(12) = 153.86
A perfectly circular watermelon is has a radius of 2.5 inches. What is the volume of the watermelon?
65.42 ft3
(4/3)๐ r3 = volume
(4/3)๐ (2.53) = 65.42 in3
What is the formula for Volume of a Sphere?
(4/3)ฯr^3
What is the height of a cylinder with a radius of 8 and a volume of 256ฯ?
4
a big flower pot is 3 feet tall and a diameter of 14 feet. What is the volume?
461.58ft3
r2 x ๐ x h = volume
r=d/2 14/2=7
7 2 x ๐ x 3 = 461.58
A party hat is 8.5 in tall and a diameter of 14 What is the volume of the party hat? round to nearest hundredth
435.95 in3
1/3๐ (r2)(h) = volume 14/2=7
1/3๐ (72)(8.5) = 435.95
An ornament for a Christmas tree has a diameter of 30 in what is the volume of the ornament?
14,130 in3
radius=diameter/2 30/2=15
(4/3)๐ r3 = volume
(4/3)๐ (153) = 14,130
h=v/(ฯr^2)
What is the height of a cube with a volume of 27?
3
Johnny got a can of coke. The diameter of the can is 9 foot and the height of the can is 10 foot tall. What is the total volume of the can?
635.85= ft3
r2 x ๐ x h = volume of one can
9 รท 2 = 4.5
4.52 x ๐ x 10= 635.85 ft3
The tip of a pencil is 14 cm tall and a radius of 7 cm. What would be the total volume of the pencil tip?
718 cm2
1/3๐ (r2)(h) = volume
1/3๐ (72)(14) = 718
Hemisphere
Radius: 17.5
11,224.65mi3
(4/3)๐ r3 = volume
(4/3)๐ (17.53) = 22449.297
round: 22449.30
22449.30/2=11,224.65
What is the formula for finding radius of a cone?
r=sqr (v/(1/3)ฯh)
What is the radius of a sphere with a volume of 36ฯ?
3