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The curved surface area of a cylindrical tin is 704cm². Calculate the height when the radius is 8cm. [Take π = 22/7]

A) 3.5cm
B) 7cm
C) 14cm
D) 28cm
E) 32cm

User Vahid Kh
by
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1 Answer

3 votes

Final answer:

The height of the cylinder is calculated by rearranging the formula for curved surface area to solve for height, yielding a result of 7cm, which matches option (B).

Step-by-step explanation:

The student is asking to calculate the height of a cylindrical tin with a given curved surface area. Using the formula for the curved (lateral) surface area of a cylinder, which is A = 2πrh, where A is the surface area, r is the radius, and h is the height, we can rearrange the formula to solve for h. In this case, the curved surface area (A) is 704cm² and the radius (r) is 8cm. With π approximated as 22/7, the calculation is as follows:

h = A / (2πr)
= 704 / (2 * (22/7) * 8)

After performing the division, we find that the height is 7cm, which corresponds to option (B).

User Songchenwen
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