Cylinders, Cones, Spheres

Which of the following correctly identifies the dimensions of this sphere.

Which of the following correctly identifies the dimensions of this cylinder.

Calculate the volume of this cone. Use the formula \(v=\frac{\pi r^2h}{3}\) and \(\pi=3.14\).

Calculate the volume of this sphere. Use the formula v=\frac{4\pi r^3}{3} and \pi=3.14. Round your answer to the nearest hundredths place.

...

• it takes to cover the outside a 3D object.

• it takes to fill the inside of a 3D object.

The radius in this cylinder is 6.4 cm. True or False?

• True

• False

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

• 377 cubic feet

• 942 cubic feet

• 2,958 cubic feet

• 3,768  cubic feet

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.

• The volume of Ball 1 is 8 times the volume of Ball 2.

• The volume of Ball 1 is twice the volume of Ball 2.

• The volume of Ball 2 is 8 times the volume of Ball 1.

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