Question

3
3. 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.​

Answer 1

Given:

radius of the cone = 3.5cm

total height of the toy= 15.5cm

to find:

total surface area of the toy

radius of the hemisphere =radius of the cone

= 3.5cm

height of the cone = 15.5 -3.5

=12cm

slant height of the cone =√{(3.5)}^2+{(12)}^2

= √(12.25+144)

=√156.25

slant height of the cone =12.5cm

find TSA of the toy=CSA of hemisphere + CSA of cone.

= 2πr^2+πrl

= πr(2π+l)

= 22/7×3.5×(2×3.5+12.5)cm

= 22/7×7/2×(7+12.5)cm^2

= 11×19.5 cm^2

= 214.5 cm^2

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