the slant height of an frustum of acone are 5cm and the perimeter of it's circular ends are 20cma and 12cm find the curved surface area of frustum
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Step-by-step explanation:
Slant height = l = 5 cm
Perimeter of 1st circular end (p1) = 20 cm
Perimeter of 2nd circular end (p2) = 12 cm
Therefore,
P1 = 2.π.r. ....(circumference)
20 = 2 × 3.14 × r1
therefore,
r1 = 10/3.14 = 3.18 cm
Similarly
P2 = 2.π.r.....(circumference)
12 = 2 × 3.14 × r2
r2 = 6/3.14 = 1.91 cm
Now, we know that,
CSA(Frustum) = π (r1 + r2) × L
==> 3.14 ( 3.18 + 1.91 ) × 5
==> 3.14 (5.09) × 5
==> 79.913 cm²
Therefore, the curved surface area of the Frustum = 79.913 cm²
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