SOLUTION: A right circular cylinder has height 6 and volume 54π. What is the circumference of its base? (A) 2π (B) 3π (C) 6π (D) 9π (E) 18π

Algebra ->  Bodies-in-space -> SOLUTION: A right circular cylinder has height 6 and volume 54π. What is the circumference of its base? (A) 2π (B) 3π (C) 6π (D) 9π (E) 18π       Log On


   

Question 304202: A right circular cylinder has height 6 and volume 54π. What is the circumference
of its base?
(A) 2π
(B) 3π
(C) 6π
(D) 9π
(E) 18π

Answer by london maths tutor(243) About Me  (Show Source):
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54pi+%2F+6+=+9pi+
Cross sectional area = 9pi%7D%7D%0D%0A%0D%0Aarea+of+a+circle+=+pi%2Ar%5E2+%0D%0A%0D%0A%7B%7B%7B+pi%2Ar%5E2+=+9pi+
r%5E2+=+9+
+r+=+sqrt%289%29+
r = 3
Circumference = pi%2Ad
d = r * 2
d = 3*2
d = 6
Circumference = 6pi
Answer:C