1)
(c) Volume of a cylinder is 2,376 cm . If the diameter of its base is 12 cm, then find
its height.
bo
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1)
(c) Volume of a cylinder is 2,376 cm . If the diameter of its base is 12 cm, then find
its height.
bo
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Answer:
Given :-
To Find :-
Formula Used :-
★ Volume of cylinder = πr²h ★
Solution :-
Given :
First we have to find the radius,
We know that,
✰ Radius = Diameter ÷ 2 ✰
↦ Radius = 12 ÷ 2
➦ Radius = 6 cm
Now we have to find the height of the cylinder,
According to the question by using the formula we get,
⇒ 22/7 × (6)² × h = 2376
⇒ 22/7 × 36 × h = 2376
⇒ h = 2376 × 7/36 × 22
⇒ h = 16632/792
➠ h = 21 cm
∴ The height of the cylinder is 21 cm .
★ Let's Verify ★
⇒ 22/7 × (6)² × h = 2376
Put h = 21 we get,
⇒ 22/7 × 36 × 21 = 2376
⇒ 22/7 × 756 = 2376
⇒ 2376 = 2376
➦ LHS = RHS
Hence, Verified ✔