A wooden toy is made by scooping out a hemisphere of same radius as of cylinder, from each end of a wooden solid…

CBSE Class 10 Maths PYQ · Surface Areas & Volumes · Surface Area · 3 Marks · March 2024 · Standard

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163 Marks · March 2024 · Standard

A wooden toy is made by scooping out a hemisphere of same radius as of cylinder, from each end of a wooden solid cylinder. If the height of the cylinder is $20$ cm and its base is of radius $7$ cm, find the total surface area of the toy.

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Total surface area $= 4\pi r^2 + 2\pi rh = 4 \times \frac{22}{7} \times 7 \times 7 + 2 \times \frac{22}{7} \times 7 \times 20 = 616+880 = 1496 \text{ cm}^2$