Question

the toy is in the shape of cone surrmounted by a hemisphere the diameter of the toy is 3.5 cm and the total height of the toy is 5 cm find the total surface area of the toy.​

Answer 1

Diameter of a toy= 3.5cm

r= 1.75cm

So height of the cone without hemisphere= 5cm- 1.75cm

= 3.25cm

slant height (l)= √h²+r²

= √(3.25cm)²+(3.5cm)²

=√10.5625cm² + 12.25cm²

=√22.8125cm²

=4.776cm

TSA= lateral surface area of a cone+ CSA of a hemisphere

= πrl + 2πr²

= πr(4.78cm+2×1.75cm)

=22/7 × 1.75cm ( 4.78cm+3.5cm)

= 22×.25cm×8.28cm

45.54cm²