Volume of Cylinder, Cones, Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π cm³.

Front

If a cone has a radius of 4 cm and a height of 6 cm, what is its volume?

Back

Volume = (1/3)π(4)²(6) = 32π cm³.

Front

If a sphere has a radius of 2 cm, what is its volume?

Back

Volume = (4/3)π(2)³ = (32/3)π cm³.

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

How does increasing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Front

How does increasing the height of a cone affect its volume?

Back

Increasing the height increases the volume linearly, as volume is directly proportional to height.

Front

What is the volume of a cylinder with a radius of 5 m and a height of 10 m?

Back

Volume = π(5)²(10) = 250π m³.