Question
Download Solution PDFThe frustum of a right circular cone has the radius of the base as 5 cm, radius of the top as 3 cm, and height as 6 cm. What is its volume?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of the base (R) = 5 cm
Radius of the top (r) = 3 cm
Height (H) of frustum = 6 cm
Formula used:
Volume of Frustum (V) = 1/3 πH (R2 + Rr + r2)
Calculations:
According to the question,
Volume of Frustum = 1/3 π × 6 × [(5)2 + (5 × 3) + (3)2]
⇒ V = π × 2 × [25 + 15 + 9]
⇒ V = π × 2 × [49] = 98π cm3
∴ The volume of frustum is 98π cm3.
Last updated on May 28, 2025
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