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Probability

Question
CBSEENMA9003434

CSA of an ice cream cone of slant height 12 cm is 113.04 cm2. Find the base radius and height of the cone, (straight pi = 3.14)

Solution

Let the base radius and height of the cone be r cm and h cm respectively. Then,
πrl = 113.04 ⇒ 3.14 x r x 12 = 113.04 ⇒    r = 3 cm
l= r2 + h2 ⇒    (12)2 = (3)2 + h2
⇒    144 = 9 + h2
⇒    h2 = 135
rightwards double arrow space space space space space space space space space space straight h space equals space square root of 135 space equals space 3 square root of 15 space cm