Volume and Surface Area

(A) The are of the base of a cylinder is 615.44 cm². If the volume of the cylinder is 1230.88 cm³, what is the height of the cylinder?

• 1

• 2

• 4

• 5

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

(F) Alejandra is filling a cylindrical tank with gasoline at a rate of 20 ft³ per minute. The radius of the tank is 10 ft and height is 8 ft. How many minutes will it take to fill the tank to the top?

• 314

• 800

• 2512

• 125.6

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

(I) How much cat food would fit into a can that has height of 14.5 cm and a diameter of 9 cm?

• 20.25

• 63.59

• 293.63

• 921.98

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mrs. Simmons filled the cone-shaped container shown below with candy. What is the volume of the container?

• 8

• 24

• 25.12

• 75.36

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

(G) The carton of ice cream shown below is  $\frac{1}{3}$  full.  What is the volume of the ice cream left in the carton?

• 32 $\pi$  

• 16 $\pi$  

• 57.8 $\pi$  

• 100.48 $\pi$  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

(C) A cubic tank with 4.6 m edges is filled with water. How much water will be left in the tank if some is drained off to fill a cylindrical tank with a radius of 2.2 m and a height of 4.6 m?

• 27.43

• 69.91

• 97.34

• 15.20

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

(E) A giant inflatable beach ball has a diameter of 4 feet. Approximately how many cubic feet of air will it take to inflate the beach ball?

• 27

• 25.12

• 33.49

• 54.12

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

(H) A silo shaped like a cylinder is partially filled with corn feed for cows. The corn fills only 50% of the height of the silo. Estimate the volume of the silo that is filled with corn if the silo is 12 feet in diameter and 30 feet high.

• 90 $\pi$

• 452.16 $\pi$

• 1695.6 $\pi$

• 540 $\pi$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

(D) Natalie is comparing two different sizes of cans of soup. One can has a diameter of 8 cm and a height of 11 cm. The other can has a diameter of 10 cm and a height of 8 cm. What is the difference in volume of the two cans?

• 75.36

• 301.44

• 204.56

• 42.33

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3