# Find the volume of the right circular cone with

i) radius 6 cm, height 7 cm ii) radius 3.5 cm, height 12 cm

**Solution:**

Volume of a cone of base radius r, and height h, = 1/3πr²h

i) Radius of the cone, r = 6 cm

Height of the cone, h = 7 cm

Volume of the cone = 1/3πr²h

= 1/3 × 22/7 × 6 cm × 6 cm × 7 cm

= 264 cm³

ii) Radius of the cone, r = 3.5 cm

Height of the cone, h = 12 cm

Volume of the cone = 1/3πr²h

= 1/3 × 22/7 × 3.5 cm × 3.5 cm × 12 cm

= 154 cm³

**☛ Check: **NCERT Solutions for Class 9 Maths Chapter 13

**Video Solution:**

## Find the volume of the right circular cone with i) radius 6 cm, height 7 cm ii) radius 3.5 cm, height 12 cm

NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.7 Question 1

**Summary:**

For a right circular cone, we have found that the volume of the first cone with radius 6 cm, height 7 cm is 264 cm³ and the volume of the second cone radius 3.5 cm, height 12 cm is154 cm³.

**☛ Related Questions:**

- Find the capacity in litres of a conical vessel with i) radius 7 cm, slant height 25 cm ii) height 12 cm, slant height 13 cm
- The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of the base. (Use π = 3.14)
- If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
- A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?

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