The circumference of the base of a right circular cylinder is 22 cm. If the
height of the cylinder is 10 cm, calculate the volume of the cylinder.
Answers
Given :-
- Circumference of base of cylinder=22cm
- Height of cylinder=10cm
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To find :-
- Volume of cylinder
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Solution :-
We are given the circumference of base of cylinder and we are asked to find the volume of cylinder. Firstly we have to find the length of radius of cylinder so that we can further solve the problem. To find radius, we will apply formula of circumference of circle for the base of cylinder.
• Applying formula for circumference::
» circumference of circle=2πr
⇒ 22cm=2πr
⇒ 22cm=2×(22/7)×r
⇒ (22cm×7)/(2×22)=r
⇒ 7cm/2=r
⇒ 3.5cm=r
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• Now applying formula for volume of cylinder::
» Volume of cylinder=πr²h
⇒ Volume of cylinder=(22/7)×(3.5cm)²×10cm
⇒ Volume of cylinder=(22/7)×35×(35/100) cm²×10cm
⇒ Volume of cylinder=11×35cm³
⇒ Volume of cylinder=385cm³
So the required volume of cylinder is 385cm³.
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Given:
- The circumference of the base of a right circular cylinder is 22 cm.
- The height of the cylinder is 10 cm
To find:
- The volume of the cylinder?
Solution:
• Let's consider ABCD as a cylinder.
Where,
- Circumference of the base of a right circular cylinder is 22 cm.
- Height of the cylinder = 10cm
• Let's consider radius as r
⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Finding radius,
→ 2πr = Circumference
→ 2 × 22/7 × r = 22
→ 2 × 22 × r = 22 × 7
→ r = 22 × 7/22 × 2
→ r = 7/2
→ r = 3.5cm
⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Let's Find volume of the cylinder,
→ πr²h
→ π × (3.5)² × 10
→ 22/7 × 12.25 × 10
→ 22/7 × 122.5
→ 17.5 × 22
→ 385cm³
∴ Hence, Volume of the cylinder is 385cm³