Question

the area of the base of right circular cylinder is 216 CM square and its height is 0.5 cm find the volume of the cylinder​

Answer 1

Given:

✰ The area of the base of right circular cylinder = 216 cm²

✰ Height of right circular cylinder = 0.5 cm

To find:

✠ The volume of the cylinder.

Solution:

First we will find radius of right circular cylinder by using formula to calculate area of base of right circular cylinder. After finding radius, we will find the volume of cylinder by using formula, putting the values in the formula and doing the required calculations.

Let the radius of right circular cylinder be r cm

✭ Area of base = πr² ✭

➛ πr² = 216

➛ 22/7 × r² = 216

➛ r² = (216 × 7)/22

➛ r² = (108 × 7)/11

➛ r² = 756/11

➛ r² = √(756/11)

➛ r² = 6√(231/11)

Now,

✭ Volume of the cylinder = πr²h ✭

➤ Volume of the cylinder = 22/7 × (6√231/11)² × 0.5

➤ Volume of the cylinder = 2/7 × 36 × 231/11 × 0.5

➤ Volume of the cylinder = 2/7 × 36 × 231/11 × 5/10

➤ Volume of the cylinder = 2/7 × 18 × 231/11 × 5/5

➤ Volume of the cylinder = 2/7 × 18 × 231/11

➤ Volume of the cylinder = 2 × 18 × 33/11

➤ Volume of the cylinder = 2 × 18 × 3

➤ Volume of the cylinder = 108 cm³

∴ The volume of the cylinder = 108 cm³

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Answer 2

Given :-

• the area of the base of right circular cylinder is 216cm² and its height is 0.5cm

To Find :-

• Volume of Cylinder

Solution :-

❏ As we know that, Area of Base = πr² and Volume of Cylinder is πr²h. Therefore :

Putting the Values :

➞ Volume of Cylinder = πr²h

➞ Volume of Cylinder = 216 × 0.5

➞ Volume of Cylinder = 216 × 5 ÷ 10

➞ Volume of Cylinder = 1080 ÷ 10

➞ Volume of Cylinder = 108cm³

Thus Volume of Cylinder is 108cm³

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