If the volume of a right circular cone of height 12 cm is 100π cu. cm., find the diameter of its base
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If the volume of a right circular cone of height 12 cm is 100π cu. cm., find the diameter of its base
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Given :
⬤ Height of Right Circular Cone is 12 cm.
⬤ Volume of Right Circular Cone is 100π cm³.
To Find :
⬤ Diameter of its Base .
Formula Used :
Solution :
First , We have to Calculate Radius of the Right Circular Cone . Hence ,
100π = 1/3 × π × r² × h
100 = 1/3 × r² × 12
100 = 4r²
100/4 = r²
25 = r²
√25 = r
5 = r
Therefore , Radius of Right Circular Cone is 5 cm.
Now :
Diameter = Radius × 2
= 5 × 2
= 10
Therefore , Diameter of its Base is 10 cm .
Verified answer
Answer:
10cm
Step-by-step explanation:
The formula for the volume of a right cone is π. (Just a formula bro;)
∵ we have to find the diameter -r or radius can be replace with .
π()^2()
()^2() = 100 (if we remove π from both L.H.S. and R.H.S.)
*4 = 100
= 100
d =
∴ the diameter of the right cone is 10cm.
Hope you have understood!