Surface Area and Volume Word Problems of Cone Spheres Cylinders

It is snowing and salt trucks are dumping a mixture to help. When the mixture is dumped from a truck, it forms a mound with a conical shape. If the mound has a diameter of 15 feet and a height of 10 feet, how much salt-sand mixture is there?

• 1,767 ft³

• 7,068.5 ft³

• 589 ft³

• 4,417.9 ft³

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³

• 141.3 ft³

• 88.3 ft³

• 70.7 ft³

Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

A cylindrical nerf shark tank at the Houston Aquarium has a height of 90 feet and a diameter of 30 feet. How much water is needed to fill HALF of the tank.

Use 3.14 for π.

• 63,585 ft³

• 9896.02 ft²

• 22,619 ft²

• 31,792.5 ft³

V = ?

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

• 502.4 in³

• 167.5 in³

• 251.2 in³

• 83.7 in³

A paper party hat, has a slant height of 6 inches and a height of 5 inches. How many square feet of poke-dot paper would be needed to create this hat?

• 62.5 in.²

• 10 in.²

• 50 in.²

• 22.5 in.²

The height of a cone is equal to two times the radius of the base. If the base has an area of 25π, what is the volume of the cone?

• 83.3π

• 250π

• 10

• 5

If a hemisphere has V=18π, what is the value of the radius?

• 3

• 13.5

• 54

• 108

If a cone has V = 602 cm^3 and a height of 36, what is the value of the radius?

• 4

• 16.7

• 50.2

• 16