# Volume and Surface Area Questions

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Mathematics is a very important subject for all competitive exams. Students need special diligence to understand the questions related to the surface area and volume (area and volume) of mathematics. The surface area and volume are calculated for any three-dimensional geometrical space. The surface area of any given object is the area covered by the surface of the object, while volume is the amount of space available in an object.

To solve the questions of this topic of Mathematical it is necessary to have special knowledge of the formulas. So if you want to bring full marks on this topic, then this blog will help you a lot. Here we have updated the questions based on surface area and volume so that you can study and practice more and more questions.

## Volume and Surface Area Questions

** Q : **

**Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?**

(A) 3:1

(B) 2:1

(C) 4:1

(D) 5:1

Correct Answer : A

**Q :**

What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?

(A) πr (l + r)

(B) 2πr (l+r)

(C) πrl

(D) $$ 2πrl^2$$

Correct Answer : A

**Q :**

The area of an equilateral triangle inscribed in a circle is $$ 9√3 cm^2$$ . The area of the circle is:

(A) $$ 8√3cm^2$$

(B) $$ 13π cm^2 $$

(C) $$ 12π cm^2 $$

(D) $$ 36π cm^2 $$

Correct Answer : C

**Q :**

A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights $$ 8 g/cm^3 $$, then the weight of the pipe ($$ π= {22\over7}$$) is.

(A) 3.696 kg

(B) 3.6 kg

(C) 36 kg

(D) 36.9 kg

Correct Answer : A

**Q :**

The volume of a cube is $$ 512{cm}^{3}$$. Its surface area (in sq cm) is

(A) 284

(B) 384

(C) 484

(D) 576

Correct Answer : B