Missing Dimensions in Volume Cylinders Cones Spheres

Find the Volume if the height is 10 cm and radius 3 cm?

• 250

• 200

• 283

• 180

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

How do you find the volume of a sphere?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

• 1,676 mm³

• 18,850 mm³

• 33,510.3 mm³

• 268,083 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

• 24,280 cubic feet

• 16,430 cubic feet

• 11,720 cubic feet

• 4,480 cubic feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

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

Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?

• 7,389 cm³

• 6,333 cm³

• 3,167 cm³

• 1,847 cm³

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