A circular disk of radius 12 centimetres is cut into three equal parts and three cones are made by
bending each part.
a) What is the radius of each cone?
b) Find the curved surface area of one cone?
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Answer: (a) 4 cm
(b) 150.85 Sq. cm
Step-by-step explanation:
Let R be the radius of the disk and r be the radius of each cone.
(a) R = 12cm (given)
circumference = 2πR = (2 x 22/7 x 12) = 528/7 cm
Now,
circumference of each cone = 528\7 x 1/3 = 176/7 cm
circumference of cone = 2πr
=> 176/7 = (2 x 22/7 x r)
=> r = 176/7 x 7/22 x 1/2
=> r = 4 cm
(b) CSA of cone = πrl = 22/7 x 4 x 12
{•.• l = R = 12cm}
= 1056/7 cm^2
= 150.85 cm^2
[ANS]
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