Question

Yeah play top in the form of hemisphere surmounted on your cone the diameter of its hemisphere is 3.6 CM the total height of the plate of is 4.2 cm find its total surface area

Answer 1

diameter of hemisphere=3.6 r=3.6/2

diameter of cone =3.6 r=3.6/2

total height=4.2cm

height of cone=4.2-3.6/2=2.4cm

slant height l=√h2+r2

=√2.4 2+1.8 2

l=3cm

tsa=csa of hemisphere+csa of cone

=2pie*r2+pie*r*l

2*22/7*3.6/2*3.6/2+22/7*3.6/2*3

=37.33cm2

Answer 2

Dear Student,

◆ Answer -

TSA = 37.32 cm^2

● Explanation -

Radius of the hemisphere is -

r = 3.6 / 2

r = 1.8 cm

Radius of the cone is same as that of hemisphere. i.e. r = 1.8 cm.

Height of cone is 4.2 - 1.8 = 2.4 cm.

Total surface area is calculated as -

TSA = LSA of hemisphere + LSA of cone

TSA = 2πr^2 + πr√(h^2+r^2)

TSA = 2×3.142×1.8^2 + 3.142×1.8×√(2.4^2+1.8^2)

TSA = 20.36 + 16.96

TSA = 37.32 cm^2

Hence, total surface area is 37.32 cm^2.

Thanks dear. Hope this helps you...