A cone-shaped nozzle has a volume of 231 cm³ and a base radius of 3.5 cm. Find its slant height.
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Correct answer: C
Explanation
given :
Volume (V) = 231 cm³
Radius (r) = 3.5 cm
According to the formula:
Volume of cone = (1/3) πr²h
Slant height l = √(r² + h²)
(1/3) × (22/7) × (3.5)² × h = 231
(1/3) × (22/7) × (49/4) × h = 231
(154/12)h = 231
h = 231 × (12/154)
h = 18
l = √((3.5)² + (18)²)
l = √(12.25 + 324)
l = √336.25
l = 18.3
Slant height = 18.3 cm