Mathematics

The volume of a cone of height 9cm is 1848cm(^3). Find its radius. [Take π…

The volume of a cone of height 9cm is 1848cm(^3). Find its radius. [Take π = 22/7]

  • A.
    7cm
  • B.
    14cm
  • C.
    28cm
  • D.
    98cm
  • E.
    196cm
Correct Answer: Option B
Explanation

1/3 πr(^2) x 9 = 1848
3 x πr2 = 1848 r2 = 1848/3 x 7/22 r = 14

(text{Volume of a cone} = frac{1}{3} pi r^2 h)

(frac{1}{3} times frac{22}{7} times r^2 times 9 = 1848)

(r^2 = frac{1848 times 7}{22 times 3})

(r^2 = 196 therefore r = 14cm)