Volumes Mcqs - Set 5

1)   The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?

a. 12 π cm3
b. 6 π cm3
c. 8 π cm3
d. 10 π cm3
Answer  Explanation 

ANSWER: 12 π cm3

Explanation:
No explanation is available for this question!


2)   Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.

a. 1:2
b. 2:1
c. 1:4
d. 4:1
Answer  Explanation 

ANSWER: 1:2

Explanation:
No explanation is available for this question!


3)   Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?

a. 360 cc
b. 60 cc
c. 300 cc
d. 36 cc
Answer  Explanation 

ANSWER: 360 cc

Explanation:
No explanation is available for this question!


4)   Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?

a. Rs.1185
b. Rs.1285
c. Rs.1385
d. Rs.1485
Answer  Explanation 

ANSWER: Rs.1485

Explanation:
22/7 * 14 * 3/2 * 3/2 = 99 m2

99 * 15 = 1485


5)   The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?

a. 308 sq cm
b. 220 sq cm
c. 440 sq cm
d. 132 sq cm
Answer  Explanation 

ANSWER: 440 sq cm

Explanation:
r = 7 h = 3

2πr(h + r) = 2 * 22/7 * 7(10) = 440


6)   The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?

a. 30 π cc
b. 45 π cc
c. 150 π cc
d. 180 π cc
Answer  Explanation 

ANSWER: 45 π cc

Explanation:
r = 3 h = 5

π * 3 * 3 * 5 = 45 π cc


7)   The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?

a. 2.66 cm
b. 2.5 cm
c. 3 cm
d. 3.5 cm
Answer  Explanation 

ANSWER: 2.5 cm

Explanation:
No explanation is available for this question!


8)   If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is________?

a. 100π
b.
c. 60π
d. 50π
Answer  Explanation 

ANSWER: 100π

Explanation:
4/3 π * 10 * 10 * 10 = 8 * 4/3 πr3

r = 5

4π * 5 * 5 = 100π


9)   The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?

a. 1:4
b. 1:16
c. 1:8
d. 1:64
Answer  Explanation 

ANSWER: 1:8

Explanation:
No explanation is available for this question!


10)   The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?

a. 6:25
b. 3:5
c. 9:25
d. 16:25
Answer  Explanation 

ANSWER: 9:25

Explanation:
No explanation is available for this question!