Review: Unit 7 Volume and Surface Area

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

Front

What is the formula for the surface area of a cylinder?

Back

The surface area of a cylinder is given by the formula SA = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

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

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Front

What is the formula for the surface area of a sphere?

Back

The surface area of a sphere is given by the formula SA = 4πr², where r is the radius.

Front

What shape has a circular base and a single vertex?

Back

A cone has a circular base and a single vertex.

Front

If the radius of a sphere is halved, how does the volume change?

Back

If the radius is halved, the volume becomes 1/8 of the original volume.

Front

What is the total surface area of a cylinder with a radius of 5 inches and a height of 10 inches?

Back

Using the formula SA = 2πr(h + r), the total surface area is approximately 471 in².

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 10 inches?

Back

Using the formula V = πr²h, the volume is approximately 94.25 in³.

Front

What is the volume of a cone with a radius of 3 inches and a height of 9 inches?

Back

The volume of the cone is approximately 28.26 in³, calculated using V = (1/3)πr²h.