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A cylindrical rod has an outer curved surface area of 8800 cm². If the length of the rod is 87 cm, then the outer radius (in cm) of the rod, correct t
Question

A cylindrical rod has an outer curved surface area of 8800 cm². If the length of the rod is 87 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is:
Take π = 22/7

A.

18.84

B.

17.93

C.

16.24

D.

16.09

Correct option is D

Given:

Curved Surface Area (CSA) = 8800 cm²

Length (height) of cylinder, h = 87 cm=

Formula Used:

Curved Surface Area (CSA) = 2πrh

Solution: 

Applying the formula;

8800 = 2πr(87)

r = 88002×227×87 \frac{8800}{2 × \frac{22}{7} × 87}​​

=8800×72×22×87 \frac{8800 × 7}{2 × 22 × 87}​​

61600382816.09 cm\frac{61600}{3828} ≈ 16.09 \text{ cm}​​

Thus, The outer radius of the rod is 16.09 cm

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