SOLUTION: A vertical cone has base diameter 16cm and slant height 17cm. Find the (1) curved surface area. (ii)volume of the cone

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Question 1181773: A vertical cone has base diameter 16cm and slant height 17cm. Find the (1) curved surface area. (ii)volume of the cone
Answer by MathLover1(20849) About Me  (Show Source):
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A vertical cone has base diameter 16cm and slant height 17cm.
Find the
(1) curved surface area
The curved surface area of the cone with slant height and diameter can be found by using the formula S+=+pi%28d%2F2%29l, where d is the diameter and l is slant height.
given:
d=16cm
l=17cm
S+=+pi%2816cm%2F2%29%2A17cm
S+=+pi%2A8cm%2A17cm
S+=+136pi%2Acm%5E2
approximately S+=+427.26cm%5E2

(ii)volume of the cone
The formula for the volume of a cone is
V=%281%2F3%29h%2Api%2Ar%5E2+
d=16cm=>r=8cm
l=17cm
h=sqrt%2817%5E2-8%5E2%29
h=sqrt%28225%29
h=15
V=%281%2F3%2915cm%2Api%2A%288cm%29%5E2+
V=5cm%2Api%2A64cm%5E2+
V=320pi%2Acm%5E3+
approximately V=1005.31cm%5E3+