Find the height of a cone with a radius of 12 in. and a volume of $408 \pi$ in $^3$.

Find the lateral and surface area of the prism. Round to the nearest tenth, if necessary.

Cylinder: diameter 25 inches, height 18 inches

Find the height of each cylinder. Round to the nearest tenth.

Radius: 2.35 m

Volume: 31.2 m

Use the following information to answer: In the miniature village at the playground, the model of the old school building is $6.6$ feet long, $3.3$ feet wide, and $4.6$ feet high.

If the real building was 80 feet long and 40 feet wide, how high was it?

Find the width of a rectangular prism with a length of $11.5$ inches, a height of 14 inches, and a volume of 483 cubic inches.

Find the height of the cylinder. Round to the nearest tenth.

Diameter: 16 in.

Volume: $5,425.9$ in $^3$

Find the height of a rectangular prism with a length of 11 meters, a width of $0.5$ meter, and a volume of $23.1$ cubic meters.

Find the volume of the following. If necessary, round to the nearest tenth

Triangular prism: base of triangle 17 centimeters, height of triangle 3 centimeters, height of prism $10.2$ centimeters

Find the radius of a sphere with a volume of $972 \pi \mathrm{cm}^3$.

Janie collects rocks and minerals. She bought the beryl crystal. Draw the top view and side view. Then draw and describe the shape resulting from an angled cross-section of the figure.

Use both the shell method and the washer method to find the volume of the solid that is generated when the region in the first quadrant bounded by $y=x^{2}$, y = 1, and x = 0 is revolved about the following lines. x = 2

Find the lateral and surface area of the prism. Round to the nearest tenth, if necessary.

Cylinder: diameter $1.6$ feet, height $4.2$ feet

Find the height of each cylinder. Round to the nearest tenth.

Diameter: 12 ft

Volume: $1,073.9 \mathrm{ft}^3$

Find the lateral and surface area of the prism. Round to the nearest tenth, if necessary.

Rectangular prism: length $15.4$ centimeters, width $14.9$ centimeters, height $0.8$ centimeter