A right-angled triangle having its height and base equal to 24 cm and 7 cm respectively is rotated by 360- along its base- Find the curved surface area of the resultant figure-A- 520 cm 2B- 450 cm 2C- 1460 cm 2D- 550 cm 2

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Curved Surface Area of a Right Circular Cone

A right-angle...

Question

A right-angled triangle having its height and base equal to 24 cm and 7 cm respectively is rotated by 360⁰ along its base. Find the curved surface area of the resultant figure.

520 cm²

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550 cm²

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450 cm²

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1460 cm²

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Solution

The correct option is B
550 cm²

When a right-angled triangle is rotated by $360^{0}$ along its base, it forms a cone.
By Pythagoras theorem, slant height = $\sqrt{24^{2} + 7^{2}}$ = 25 cm
When triangle rotates along its base, radius will be 7 cm.
So, curved surface area = $π r l = \frac{22}{7} \times 7 c m \times 25 c m = 550 c m^{2}$

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A right-angled triangle having its height and base equal to 24 cm and 7 cm respectively is rotated by 360⁰ along its base. Find the curved surface area of the resultant figure.

The correct option is B 550 cm2When a right-angled triangle is rotated by 3600 along its base, it forms a cone. By Pythagoras theorem, slant height = √242+72 = 25 cm When triangle rotates along its base, radius will be 7 cm. So, curved surface area = πrl=227×7 cm×25 cm=550 cm2