Cylinders
Formula for the volume of a cylinder
兀r2h=V
Formula for the volume of a cone.
V=1/3hπr²
What is the Formula for the volume of a sphere?
V = 4/3 πr³
What is the formula for the volume of a hemisphere?
V = 4/3 πr³ divided by 2.
John has a cylinder and a ball that both have the same radius. The radius of the sphere is 12, and the height of the cylinder is 20. John decides to glue the sphere on top of the cylinder because he's bored. What is the volume of the two shapes?
16286.03in3
Volume of a cylinder with a radius of 6in and a height of 4in
Use 3.14 for 兀
V=452.16
Volume of a cone with a radius of 5 and a height of 12.
use 3.14 for pi
3143
Volume of sphere with a radius of 3.
Use 3.14 for pi.
113.043
Volume of a hemisphere with a radius of 6.
4523
John has a cone. The cones radius is 4 and it's height is 7. What is the volume of John's cone?
117.293
Volume of a cylinder with a diameter of 8in and a height of 10in
Use 22/7 for 兀
502 and 6/7 inches
Volume of a cone with a diameter of 22, and a height of 10.
use 22/7 for pi.
1267.63
Volume of a sphere with a diameter of 12.
Use 22/7 for pi
905 1/73
What is the volume of a hemisphere with a radius of 10?
use 22/7 for pi.
41903
John, Jon, Jean and Jan (Jan is dutch, so his name is pronounced like Jon) all have a hemisphere each. Each hemisphere has the same radius, which is 5.
Juan and his friend Johann both have spheres, also with a radius of 5.
If John, Jon, Jean and Jan all glue their hemispheres together, how many spheres do John, Jon, Jean, Jan, Juan and Johann have?
4 spheres.
Volume of a cylinder with a radius of 1.5in and a height of 4in.
Leave your answers in terms of pi.
9兀
Volume of a cone with a radius of 6 and a height of 9.
Leave answers in terms of pi.
108π3
Find the volume of a sphere with a radius of 9.5.
Leave answer in terms of pi.
1072.5π
Volume of a hemisphere with a radius of 25.
Leave answer in terms of pi.
20833.33
John, Jon and Juan all have cones with a radius of 3 and a height of 5.
Johann has a cylinder with the same measurements.
Who's shape/shapes has more volume, John and Jon and Juan, or Johann?
Neither, they all have the same volume.
John bought a coffee in a cup shaped like a cylinder with a radius of 5 centimetres and a height of 15 centimetres. John fills the cup with coffee, but leaves 4.5 centimetres of space for cream. What is the volume of the cylinder?
1173.6cm
John made a cylinder with a volume of 63 cubic cm. John's twin brother, Jon, made a cone with the same height and radius of John's cylinder. What is the volume of Jon's Cone.
21cm3
John has ball. Ball is round. Ball has Diameter of 13. What is ball volume?
pi is 3.14.
91983
John has a ball that is very round. John is bored and breaks the ball in half. The diameter is 16.
Use 3.14 for pi.
2143.63
John has a cylinder with a diameter of 3057 miles, and a height of 4286 miles. What is the volume of this mega cylinder.
Use 22/7 for pi.
The answer is massive so please use scientific notation lol
3.147079353 X 1010
:)