# 30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

**Solution:**

Given, 30 circular plates each of radius 14 cm and thickness 3 cm are placed one above the other to form a cylindrical solid.

We have to find the total surface area.

Given, radius of one circular plate = 14 cm

Thickness of one circular plate = 3 cm

Now, radius of base of cylinder r = 14 cm

Height of cylinder = 30 × thickness of one circular plate

= 30(3)

h = 90 cm

Volume of the cylinder = πr²h

Where, r is the radius of the cylinder

h is the height of the cylinder

Volume = (22/7)(14)²(90)

= 22(14)(2)(90)

= 44(14)(90)

= 55440 cm³

Therefore, the volume of the cylinder is 55440 cm³.

**✦ Try This:** 90 circular plates, each of radius 4 cm and thickness 2 cm are placed one above the other to form a cylindrical solid. Find the volume of the cylinder so formed.

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

**NCERT Exemplar Class 9 Maths Exercise 13.4 Problem 8(ii)**

## 30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

**Summary:**

30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the other to form a cylindrical solid. The volume of the cylinder formed is 55440 cm³

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