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 8 inches and is a foot tall. What is the volume?
803.84 in3
๐ (r2)(h)/3 = volume
๐ (64)(12)/3 = 803.84
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 name of the state test you will be taking in a few weeks?
Forward Exam
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
๐ (r2)(h)/3 = volume
๐ (1.82)(2.75)/3 = 9.3258
A gumball has a diameter of 23 millimeters. What is the volume of the gumball? round to the nearest thousandth
6367.397 mm3
(4/3)๐ r3 = volume
(4/3)๐ x 11.53 = 6367.387
How many cones fit into a cylinder that have the same radius and ht?
3
A circular bucket is 2 feet tall and 8 inches for a radius. What is the volume in cubic feet? 12 in = 1 ft
1.5 ft3
r2 x ๐ x h = volume
8 in = 0.75 feet
2 x 0.75 x ๐ = 1.5
An ice-cream cone is 5 inches tall and has a diameter of 4 centimeters. What is the volume in cubic inches? 1 in = 2.54 cm round to nearest hundredth
3.24 in3
๐ (r2)(h)/3 = volume 4/2 = 2 2cm = 0.787402 in
๐ (0.7874022)(5)/3 = 3.244676
A perfectly circular watermelon is has a radius of 13 inches. What is the volume of the watermelon in cubic feet? round to nearest hundredth 12 in = 1 ft
5.32 ft3
(4/3)๐ r3 = volume
(4/3)๐ (133) = 9198.11 in3
9198.11/1728 = 5.32 ft3
How many cones fit into a sphere that has the same radius?
2
a big flower pot is 1.4 yards tall and a radius of 14 inches. What is the volume in cubic feet? (round to nearest hundredth) 12 in = 1 ft 3 ft = 1 yd
17.96 ft3
r2 x ๐ x h = volume
1.4 yd = 4.2 ft 14 in = 1.167 ft
1.1672 x ๐ x 4.2 = 17.960521
A party hat is 5.8 in tall and a diameter of 7 3/5 cm. What is the volume of the party hat in cubic cm? round to nearest hundredth 1 in = 2.54 cm
222.66 cm3
๐ (r2)(h)/3 = volume 5.8 in = 14.732 cm
๐ (3.82)(14.732)/3 = 222.657484
An ornament for a Christmas tree has a diameter of 4.846 in what is the volume of a 4 pack of ornaments? round to nearest hundredth
238.23 in3
(4/3)๐ r3 = volume
(4/3)๐ (2.4233) = 59.55642593
59.55642593 x 4 = 238.2257037
What college did Mr. Kreuser attend after high school?
UW-Stevens Point
Johnny got a six-pack of pop. The diameter of each can of pop is 1/4 foot and the hight of each can is 0.5 foot tall. What is the total volume of the six-pack? (round to nearest thousandth)
six cans =0.147 ft3
r2 x ๐ x h = volume of one can
6 (r2 x ๐ x h) = volume of six cans 1/4รท 2 = 1/8
6 (1/82 x ๐ x 1/2) = 0.147 ft3 0.5 = 1/2
The tip of a pencil is 1.6 cm tall and a diameter of 2/3 cm. What would be the total volume of a dozen pencil tips? round to nearest thousandths
2.233 cm2
๐ (r2)(h)/3 = volume
๐ (1/32)(1.6)/3 = 0.18607407
0.18607407 x 12 = 2.23288884
If 50 moons can fit inside of the earth and the diameter of the earth is 3,963 miles. What is the volume of the moon in cubic miles? round to nearest million
650,000,000 mi3
(4/3)๐ r3 = volume
(4/3)๐ (1981.53) = 3.25724641ร1010
3.25724641ร1010/50 = 651,449,282.9
What are the names of Mr. Kreuser's three kids?
Gannon, Calla, and Annika