Surface Area and Volume of Similar Solids

Two spheres have a similarity ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  What is the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

Calculate the composite surface area of the figure.

• 80 cm²

• 72 cm²

• 52 cm²

• 42 cm²

To the nearest whole number, what is the volume of a sphere with a diameter of 8 cm?

• 268 cm³

• 67 cm³

• 2,145 cm³

• 34 cm³

If the volume of a right cylinder is 36π in³, and the height is 1, what is the diameter?
 

• 6 in

• 12 in

• 36 in

• 3 in

What is the scale factor of the side lengths of the figure on the left to the figure on the right. 

• 3/1

• 3240/120

• 27/1

• 1/3

What is the ratio of the surface areas from large to small. 

• 49/16

• 7/4

• 42/24

• 10/8

Find the surface area of the larger solid given the information below.
V = 8m³
V = 27m³

SA = 36 m²
SA = ?

• 54 m²

• 81 m²

• 55 m²

• 76 m²

This solid is a...

• pyramid.

• prism.

• sphere.

• cone.

The slant height of the cone is...

• 15 m

• 17 m

• 8 m

• 12.7 cm

What is the volume of the larger solid shown ?( round to nearest hundreds, type numerical only)