if the total surface area of a cone is 23100 CM square and the radius is 3 by 5 of the slant height of the cone find its height
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Answer:
874.4 cm
Step-by-step explanation:
TSA = 23100 cm square
Radius = 3/5 cm
l = ?
TSA of Cone = 2πr(l+r)
23100 = 2 * 22/7 *3/5 ( l + 3/5)
23100 = 44/7 * 3/5 *l + 9/25
23100/44 = 3/5l + 9/25
23100/44 - 9/25 = 3/5l
23100/44 -9/25 * 5/3 = l
874.4 = l
l = 874.4 cm
l² = h² + r²
h² = l² - r²
= (874.4)² - (3/5)²
= 764575
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