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Volume and Surface Area Questions Quiz with Answers

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Q :  

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

Q :  

Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?

(A)

(B)

(C)

(D)

Correct Answer : A

Q :  

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 Rand height h, then h in terms of R1 will be :

(A)

(B)

(C)

(D) None of these

Correct Answer : C

Q :  

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

Q :  

In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:

(A)

(B)

(C)

(D)

Correct Answer : C

Q :  

The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is

(A)

(B)

(C)

(D)

Correct Answer : A

Q :  

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

Q :  

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)

(B)

(C)

(D)

Correct Answer : B

Q :  

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

Q :  

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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