Volume and Surface Area Questions Quiz with Answers
The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?
(A) 4 : 7
(B) 3 : 8
(C) 4 : 5
(D) 5 : 9
Correct Answer : B
Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?
(A) $$20 cm^2$$
(B) $$15 cm^2$$
(C) $$24 cm^2$$
(D) $$28 cm^2$$
Correct Answer : A
If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius R1 and height h, then h in terms of R1 will be :
(A) $$ {40-R_1\over {R_1}}$$
(B) $$ {40-R_1\over {R_1^{2}}}$$
(C) $$ {40-R_1^{2}}\over R_1$$
(D) None of these
Correct Answer : C
A solid metallic cylinder of base radius 3 cm. and height 5 cm. is melted to form cones, each of height 1 cm. and base radius 1 mm. The number of cones is -
(A) 12540
(B) 13500
(C) 24400
(D) 11600
Correct Answer : B
In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:
(A) $$ {2\over ({\sqrt{2}+1})R}$$
(B) $$ {1\over {\sqrt{2}}}R$$
(C) $$ {(\sqrt{2}-1)R}$$
(D) $$ {\sqrt{2}R}$$
Correct Answer : C
The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is
(A) $$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$
(B) $$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$
(C) $$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$
(D) $$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$
Correct Answer : A
A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to:
(A) 34 kg
(B) 44 kg
(C) 14 kg
(D) 24 kg
Correct Answer : B
A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :
(A) $$ {81 π \ cm^{3}}$$
(B) $$ {100 π \ cm^{3}}$$
(C) $$ {91 π \ cm^{3}}$$
(D) $$ {110 π \ cm^{3}}$$
Correct Answer : B
The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:
(A) 169 π m2
(B) 172 π m2
(C) 165 π m2
(D) 180 π m2
Correct Answer : D
The height of a cone is 16 cm and radius of its base is 30 cm. If the rate of painting it is Rs.14/cm2, then what will be the total cost in painting the curved surface of cone from outside?
(A) Rs. 42220
(B) Rs. 44880
(C) Rs. 36820
(D) Rs.46540
Correct Answer : B
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Rajesh Bhatia
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