Question
Download Solution PDFThe volume of a cone is 73920 cm3. If the height of the cone is 160 cm, then find the diameter of its base.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The volume of a cone is 73920 cm3.
The height of the cone is 160 cm
Concept used:
The volume of a cone = 1/3πr2h
Calculation:
According to the question,
1/3πr2h = 73920
⇒ 1/3πr2 × 160 = 73920
⇒ 22/7 × r2 = (462 × 3)
⇒ r2 = 21 × 21
⇒ r = 21
Diameter = 42
∴ The diameter of the base is 42
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