1)
(c) Volume of a cylinder is 2,376 cm . If the diameter of its base is 12 cm, then find
its height.
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Answers
Given -
- Volume of cylinder = 2376cm³
- Base Diameter = 12cm
To find -
- Cylinder's height
Formula used -
- Volume of cylinder.
Solution -
In the question, we are provided with the volume and base diameter of a cylinder, and we need to finding it's height. Now, First we will, name the height as h, then We will find the radius of the cylinder, then we will use the formula of volume of cylinder, and Hence, the height of cylinder will be obtained to us. Let's do it!
So -
First we will convert Diameter into radius, by dividing, the given Diameter by 2, as radius is half of diameter.
Radius =
Radius = 6cm
So the radius is 6cm
Now -
We will find the height, by using the formula of volume of volume of cylinder.
= πr²h
Where -
π =
r = Radius
h = Height
On substituting the values -
The height of the cylinder is 21 cm
Verification -
Volume = πr²h
2376cm³ = × 36cm × 21cm
2376cm³ = 22 × 36cm × 3cm
2376cm³ = 2376cm³
Hence, verified!
More formulae -
1. Curved surface area = 2πrh
2. Total surface area = 2πr(r + h)
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Answer:
Given :-
- Volume of a cylinder is 2376 cm. The diameter of its base is 12 cm.
To Find :-
- What is the height of a cylinder.
Formula Used :-
★ Volume of cylinder = πr²h ★
Solution :-
Given :
- Volume of a cylinder = 2376 cm
- Diameter of its base = 12 cm
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 ✔