Cylinders Spheres Cones Volume

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

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

• 1286 in³

• 1455 in³

• 1476 in³

• 1569 in³

V_{total}=V_{cone}+V_{cylinder} V = ? V_{total}=\frac{1}{3}\text{π} r^{2}h+\text{π} r^{2}h Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

In order to calculate the VOLUME of Cylinder and Cone, we need to calculate ...

• the area of the circle first.

• the area of the triangle first.

• the area of the rectangle first.

• the area of the square first.

V_{total}=V_{cone}+V_{cylinder} V = ? V_{total}=rac{1}{3} ext{π} r^{2}h+ ext{π} r^{2}h Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

V_{total}=V_{cone}+V_{cylinder} V = ? V_{total}=rac{1}{3}\text{π} r^{2}h+\text{π} r^{2}h Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

V_{total}=V_{cone}+V_{cylinder} V = ? V_{total}=\frac{1}{3}\text{π} r^{2}h+\text{π} r^{2}h Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

V = ? Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

The formula for the Volume of ...

• Cylinder

• Cone

• Sphere