1000+ Volume and Surface Area Worksheets with Answers Pdf - 1

Question: 1

Ice cream completely filled in a cylinder of diameter 35 cm and height 32 cm is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served this way is

(A) 950

(B) 1050

(D) 1250

View Answer

Ans: B

Volume of cylinder = (π × $${35}/{2}× {35}/{2} × 32)$$cm³ = 9800 πcm³.

Volume of 1 cone = $$({1}//{3} × π × 2 × 2 × 7)$$cm³ = $${28π}/{3} $$cm³.

∴ Number of persons that can be served = $$(9800π × {3}/{28π} )$$ = 1050.

Question: 2

The total surface area of a solid hemisphere of diameter 14 cm, is

(A) 302 cm²

(B) 362 cm²

(D) 1232 cm²

View Answer

Ans: C

Total surface area = 3πR² = $$(3 × {22}/{7} × 7 × 7)$$cm² = 462 cm².

Question: 3

What is the volume in cubic of a pyramid whose area of the base is 25 sq cm and height 9 cm?

(A) 50

(B) 60

(D) 75

View Answer

Ans: D

Volume of pyramid = $${1}/{3} × area of base × height$$

= $$({1}/{3} × 25 × 9)$$cm³

= 75 cm³.

Question: 4

Water is poured into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into the tank, the depth of the water is 7 feet. The radius of the tank is 100 feet. Which of the following is the best approximation for the rate at which the water was poured into the tank?

(A) 140 cubic feet/sec

(B) 240 cubic feet/sec

(D) 700 cubic feet/sec

View Answer

Ans: D

Volume of water flown into the tank in 5 min.

= $$({22}/{7} × 100 × 100 × 7)$$ cu.feet = 2220000 cu.feet.

∴ Rate of flow of water

= $$({2220000} / {5 × 60})$$ cu.ft/sec = 733.3 cu.ft/sec = 700 cu.ft/sec.

Question: 5

A cuboid has _____ edges.

(A) 4

(B) 8

(D) 12

View Answer

Ans: D

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1000+ Volume and Surface Area Worksheets with Answers Pdf - 1

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