MCQ Class 10 Maths Surface Areas and Volumes with Answers

CBSE Class 10 Mathematics Chapter 13 Surface Areas and Volumes Multiple Choice Questions with Answers. MCQ Class 10 Maths Surface Areas and Volumes with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Surface Areas and Volumes MCQs with Answers to know their preparation level.

Multiple Choice Questions - Set - 6

Question 1: 

If the volume of sphere is 850m³ then its radius and surface area are
(a) 6m, 450m²
(b) 5m, 560m²
(c) 2m, 780m²
(d) 5.88m, 434m²
Correct Answer – (A)

Question 2 : 

In the cylindrical container, the base radius is 8 cm. If the height of the water level is 20 cm, find the volume of the water in the container.
(a) 5.6721 l
(b) 4.0218 l
(c) 3.8925 l
(d) 4.97 l
Correct Answer – (B)

Question 3 : 

If the radius of a sphere is doubled, then what is the ratio of their surface area?
(a) 1 : 2
(b) 2 : 1
(c) 1 : 4
(d) 4 : 1
Correct Answer – (C)

Question 4 : 

If the radius of cylinder is halved and height is doubled, then what will be the curved surface area?
(a) increase by 1
(b) the same
(c) double
(d) triple
Correct Answer – (B)

Question 5 : 

Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is 

(a) 6πr2

(b) 5πr2

(c) 4πr2

(d) 3πr2

Correct Answer – (C)

When two hemispheres are joined together along their bases, a sphere of the same base radius is formed.

Curved Surface Area of a sphere = 4πr2

Question 6 : 

A well with 10 m inside diameter is dug 14m deep. Earth taken out of it is spread all around it to make an embankment of height 4(2/3)  Find the width of the embankment.

(a) 5 m

(b) 4 m

(c) 4.3 m

(d) 6 m

Correct Answer – (A)

Question 7 : 

Two right circular cones of equal curved surface areas have slant heights in the ratio of 3 : 5. Find the ratio of their radii.

(a) 4 : 1

(b) 3 : 5

(c) 5 : 3

(d) 4 : 5

Correct Answer – (C)

Question 8 : 

If a right circular cone hs radius 4 cm and slant height 5 cm then what is its volume?

(a) 16 π cm3

(b) 14 π cm3

(c) 12 π cm3

(d) 18 π cm3

Correct Answer – (A)

Question 9 : 

What is the total surface area of a hemisphere of radius r?

(a) 4πr2
(b) πr2
(c) 2πr2
(d) 3πr2

Correct Answer – (D)

Question 10 : 

The number of shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm × 11 cm × 12 cm is approximately equal to

(a) 84

(b) 90

(c) 92

(d) 80

Correct Answer – (A)

Volume of cuboidal lead solid = 9 cm × 11 cm × 12 cm = 1188 cm3

Radius of lead shot = 3/2 cm = 1.5 cm

Volume of each shot = (4/3)πr3

= (4/3) × (22/7) × 1.5 × 1.5 × 1.5

= 14.143 cm3

Number of lead shots can be made = 1188/14.143 = 84 (approx.)

Multiple Choice Questions – Chapter 12 – Areas Related to Circles

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