Cylinders Spheres Cones

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

• 600 in³

• 1,885 in³

• 3,140 in³

• 12,566 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

V = ? Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3