The height of a cone is 15 cm. If its volume is 500π cm³ , then find the radius of its base.
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Given : The height of a cone is 15 cm and its volume is 500π cm³.
To find : radius of its base.
Solution :
We have , height, h = 15 cm and volume, V = 500π cm³
Let ‘r’ be the radius of its base.
Volume of the cone ,V = 1/3 πr²h
500 π = (1/3 × π × r² × 15)
500 = 5r²
r² = 500/5
r² = 100
r = √100
r = 10 cm
Radius = 10 cm
Hence, the radius of its base is 10 cm.
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