Question

a wooden article was made by scooping out a hemisperehe from each end of a solid cylinder as shown in figure . if the height of cylinder is 10 cm and it's base is of radius 3.5 cm , find the total surface area of article​

Answer 1

SOLUTION:-

Given:

•A wooden article which is height of cylinder is 10cm.

•Their base of Radius is 3.5cm.

To find:

Total surface area of article.

Explanation:

Curved surface area of cylinder:

•Radius=3.5cm

•Height= 10cm

Formula of the C.S.A. of cylinder;

=) 2πrh

$= > 2 \times \frac{22}{7} \times 3.5 \times 10 \\ \\ = > \frac{44}{7} \times 35 \\ \\ = > 44 \times 5 \\ \\ = > 220 {cm}^{2}$

Surface area of hemisphere:

=) 2πr²

$= > 2 \times \frac{22}{7} \times 3.5 \times 3.5 \\ \\ = > \frac{44}{7} \times 3.5 \times 3.5 \\ \\ = > 44 \times 0.5 \times 3.5 \\ \\ = > 77 {cm}^{2}$

Surface area of two hemisphere;

=) 2 × 77cm²

=)154cm²

Now,

Total surface area of article:

=) C.S.A of cylinder +2 × C.S.A. of hemisphere

=) 220cm² + 154cm²

=) 374cm²

Thus,

The total surface area of article is 374cm².

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