# Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height

**Solution:**

The curved surface area of a right circular cylinder of the base radius 'r' and height 'h' is 2πrh

The curved surface area of the pillar = 4.4 m²

Radius of the cylinder, r = 0.7 m

Height of the cylinder, h = ?

2πrh = 4.4 m²

2 × 22/7 × 0.7 m × h = 4.4 m²

h = 7 × 4.4 m² / (2 × 22 × 0.7 m)

h = 1 m

The height of the right circular cylinder is 1 m

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

**Video Solution:**

## Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height

Class 9 Maths NCERT Solutions Chapter 13 Exercise 13.2 Question 6

**Summary:**

It is given that curved surface area of a right circular cylinder is 4.4 m² and the radius of the base of the cylinder is 0.7 m. We have found that the height of the right circular cylinder is 1 m.

**☛ Related Questions:**

- The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find i) Its inner curved surface area ii) The cost of plastering this curved surface at the rate of ₹40 per m².
- In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system.
- Find i) The lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high. ii) How much steel was actually used, if 1/12 of the steel actually used was wasted in making the tank?
- In Fig. 13.12, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

Math worksheets and

visual curriculum

visual curriculum