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PAGE:DATE1Find the base diameter af a cylinderwhose lateral surface area is 132 cm square and Height is 7cm​

Answer»

Given:

A cylinder  WHOSE lateral surface area is 132 cm square  and Height is  7cm​

To find:

The base diameter

Solution:

We know the formula as:

\boxed{\bold{Lateral\: surface \:area \:of\: a\: cylinder = 2\pi rh}}

where

"r" → radius of the base of the cylinder

"h" → height of the cylinder

But, L.S.A. of the cylinder = 132 cm² (given)

2\pi rh = 132

substituting h = 7 cm

\implies 2 \times \frac{22}{7} \times r \times 7 = 132

\implies 2 \times 22 \times r = 132

\implies  r  = \frac{132}{2 \times 22}

\implies \bold{r = 3\:cm} ← radius of the base of the cylinder

∴ Base diameter, d = 2 × r = 2 × 3 = 6 cm

Thus, the base diameter of a cylinder is → 6 cm.

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