Correct Answer - Option 4 :
\(821{1\over 3}dm^3\)
Given
Circumference of base = 88 dm
Height of cone = 4 dm
Formula used
Circumference of circle = 2πr
Volume of cone = (1/3)πr2h
Where r and h are radius and height of cone
Calculation
2πr = 88
⇒ 2 × (22/7) × r = 88
⇒ r = (88 × 7)/(2 × 22)
⇒ r = 14 dm
Volume of a cone = (1/3)πr2h
⇒ (1/3) × (22/7) × 14 × 14 × 4
⇒ 2464/3
\(821{1\over 3}dm^3\)
∴ Volume of a cone is \(821{1\over 3}dm^3\)
