Volume and Surface Areas Quiz Set 012 | Maths Aptitude Quiz Questions and Mock Test on Volume and Surface Areas Set 12 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

The slant height of a right conical tent of height 3 m is 5 m. What is the curved surface area?

20 π sq. m.

21 π sq. m.

19 π sq. m.

22 π sq. m.

Soln.
Ans: a

By Pythagorean theorem, the radius of base = $√{5^2 - 3^2}$ = $√{25 - 9}$ = 4. The volume is π × r × l = π × 4 × 5 = 20π sq. m.

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Question 2

An iron tank 4 m × 4 m is filled with water upto a height of 4 m. What surface area of the tank is at a higher risk of corrosion?

80 cu. m.

82 cu. m.

78 cu. m.

84 cu. m.

Soln.
Ans: a

If L, B and H are the dimensions of the water column, then the wet area is 2(BH + LH) + LB = 2 × (4 × 4 + 4 × 4) + 4 × 4. The result is 80 cu. m.

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Question 3

What is the volume of a cone generated by rotating a right angled triangle with sides 17, 15 and 8 cm? The rotation is done about the side of length 8 cm.

600 π sq. cm.

601 π sq. cm.

599 π sq. cm.

201 π sq. cm.

Soln.
Ans: a

The radius of the base of the cone r = 15 cm, and height h = 8 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(15^2 × 8)$ = 600π.

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Question 4

The ratio of surface area to the volume of a cuboids is 16 : 1, and the sum of reciprocals of two edges is 52, what is the reciprocal of the third edge?

10 .

12 .

8 .

14 .

Soln.
Ans: a

The well-known relation for a cuboids is $1/V = 2/S(1/a + 1/b + 1/c)$, which can be re-arranged to get $1/c = 1/2(S/V) - (1/a + 1/b)$ = $1/2(52) - 16$ = 10.

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