A toy is in the form of a cone of radius 3.5 cm, mounted on a hemisphere of same radius. The total height of the toy…

CBSE Class 10 Maths PYQ · Surface Areas & Volumes · Surface Area · 5 Marks · July 2025 · Standard

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265 Marks · July 2025 · Standard

A toy is in the form of a cone of radius $3.5$ cm, mounted on a hemisphere of same radius. The total height of the toy is $15.5$ cm. Find the total surface area of the toy.

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Height of conical part = $15.5 – 3.5 = 12$ cm
Slant height = $\sqrt{(3.5)^2 + (12)^2} = 12.5$ cm
Total surface area of toy = CSA of conical part + CSA of hemispherical part
$= \frac{22}{7} \times 3.5 \times 12.5 + 2 \times \frac{22}{7} \times (3.5)^2$
$= 214.5$ cm$^2$