Answer:
15.13 cm
Step-by-step explanation:
We are given:
Lateral surface area of a right circular cone : πr√r² + h²
From the question, we know that:
Lateral surface area = 236.64cm²
Radius = 4.75cm
Height = ?
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)² - π ×4.75²]/π
h = √(2481.9275169 - 70.882184247)/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
