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If the volume of a right circular cone of height 9 cm is 48? cm3, find the diameter of its base.

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Maths Teacher for classes 6th to 10th with 6 years experience and having my own YouTube Channel for clearing doubts

Volume of a right circular cone = (Equation 1) Here, h = 9cm and Volume of the right circular cone = 48π cm³ So, equation 1 becomes; Diameter of its base = 2r = 8cm
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Volume of a right circular cone =        (Equation 1)   

Here, h = 9cm and Volume of the right circular cone = 48π cm³

So, equation 1 becomes; 

Diameter of its base = 2r = 8cm

 

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POSTGRADUATE INTERNATIONAL ONLINE MATH TUTOR WITH 27 YEARS EXPERIENCE

The answer is 8cm
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Experienced Maths Teacher

V = πr²h/3 48π = 9πr²/3 = 3πr² 48/3 = 16 = r² r = 4 cm diameter = 2r = 8cm
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MATHS EXPERT having an experience of 6+years

Volume of a cone=1/3∏r²h ⇒48∏=1/3×∏×r²×9 ⇒48×3×1/9=r² ⇒16=r² ⇒r=4(Ans)
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