Mensuration Questions Practice Question and Answer
8 Q: The height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. Two identical conical holes each of radius 5 cm and height 12 cm are drilled out. What is the surface area (in cm2) of the remaining solid?
950 064b90a54e154aff53380b1b6
64b90a54e154aff53380b1b6- 1430 πtrue
- 2230 πfalse
- 3330 πfalse
- 4430 πfalse
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Answer : 1. "430 π"
Q: In a circle with centre O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at the point C on it. If ∠BPT = 36°, then what is the measure of ∠BCP?
950 064b9165ce2108a723934f7bb
64b9165ce2108a723934f7bb- 1240false
- 2180true
- 3360false
- 4270true
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Answer : 2. "180" 4. "270"
Q: The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.
950 064ccdfd4b6a5e472e27fd4e3
64ccdfd4b6a5e472e27fd4e3- 12:3false
- 23:5false
- 32:5true
- 43:4false
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Answer : 3. "2:5"
Q: A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3? (Take л = 22/7)
948 064be5f6f88d5e4f52def2c6a
64be5f6f88d5e4f52def2c6a- 14 cmfalse
- 2$$2{1\over 2}$$ cmfalse
- 33 cmfalse
- 42 cmtrue
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Answer : 4. "2 cm"
Q: A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?
947 064bfb69b2dc867f59316343b
64bfb69b2dc867f59316343b- 11 : 5true
- 25 : 27false
- 31 : 10false
- 43 : 40false
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Answer : 1. "1 : 5"
Q: Area of the floor of a cubical room is 64 m2. The length of the longest rod that can be kept in the room is:
944 06481875e772333474b9de219
6481875e772333474b9de219- 1$$16 \sqrt { 2} $$false
- 2$$4 \sqrt { 3} $$false
- 3$$12 \sqrt { 3} $$false
- 4$$8 \sqrt { 3} $$true
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Answer : 4. " $$8 \sqrt { 3} $$"
Q: The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p1 , p2 and p3 . The length of each side of the triangle is
943 0645cde3f1efb290ac2460040
645cde3f1efb290ac2460040- 1$${2\over \sqrt { 3}}+(p_1+p_2+p_3) $$true
- 2$${1\over \sqrt { 3}}+(p_1+p_2+p_3) $$false
- 3$${1\over \sqrt { 3}}+(p_1+p_2+p_3) $$false
- 4$${4\over \sqrt { 3}}+(p_1+p_2+p_3) $$false
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Answer : 1. "$${2\over \sqrt { 3}}+(p_1+p_2+p_3) $$ "
Q: The base of a triangle is 16 cm and its area is $${144cm^2}$$. Find its corresponding height, with respect to the given base.
938 06426ddd29d18d2e8ae1df6b1
6426ddd29d18d2e8ae1df6b1- 118 cmtrue
- 29 cmfalse
- 324 cmfalse
- 412 cmfalse
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