3-D Figures Review(similarity & formulas)

Front

What happens to the volume of a cone if its height is tripled?

Back

The volume of the cone becomes 3 times larger.

Front

What is the ratio of the volumes of two spheres if their volume ratio is 64:27?

Back

The ratio of the lengths of the radii of the two spheres is 4:3.

Front

If Cylinder A has a height of 8 inches and Cylinder B has a height of 12 inches, what is the ratio of their surface areas?

Back

The ratio of their surface areas is 4:9.

Front

If the volume of drink A is 27 oz and drink B is 64 oz, and the surface area of drink A is 270 in², what is the surface area of drink B?

Back

The surface area of drink B is 480 in².

Front

If all dimensions of a cone are multiplied by 5, by what factor is the volume of the cone multiplied?

Back

The volume of the cone is multiplied by 125.

Front

Define the volume of a cone formula.

Back

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

Front

What is the relationship between the dimensions of similar 3-D figures?

Back

The ratios of corresponding dimensions are equal.

Front

How do you find the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), 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 the radius of a sphere is doubled, how does the volume change?

Back

The volume becomes 8 times larger.