Volume of cylinders, cones and spheres

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

V = (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

V = (4/3)πr³, where r is the radius.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of 4.

Front

If the height of a cone is halved, how does the volume change?

Back

The volume is also halved.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) = 45π in³.

Front

What is the volume of a cone with a diameter of 10 feet and a height of 4 feet?

Back

V = (1/3)π(5)²(4) = (100/3)π ft³.

Front

How do you calculate the volume of a sphere with a radius of 2 cm?

Back

V = (4/3)π(2)³ = (32/3)π cm³.

Front

What is the relationship between the volumes of two spheres if one has a radius that is twice the other?

Back

The volume of the larger sphere is 8 times that of the smaller sphere.

Front

What is the volume of a cylinder with a height of 10 inches and a radius of 2 inches?

Back

V = π(2)²(10) = 40π in³.