The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 96 π cm3, what is its slant height?
1). 9 cm
2). 8 cm
3). 10 cm
4). 12 cm
Let r = radius of base and h = height
Volume of cone = (1/3) × πr2h
Given,
⇒ (r/h) = 3/4
⇒ r = 3h/4
⇒ 96π = (1/3) × (π) × (3h/4) × (3h/4) × h
⇒ 4608 = 9h3
⇒ h = 8
Radius of base = 6 cm
∴ Slant height = $(\sqrt {{6^2} + {8^2}} = 10cm)$1. What is the SI unit of radioactivity?
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