Question

An ice cream cone consists of a circular cone and a hemisphere of ice cream joined at their circular faces. The hemisphere has radius 4 cm and the cone's perpendicular height is 9 cm. Find the total surface area, giving your answer to 3 significant figures.

Answer 1

Answer:

366.8 cm²

Step-by-step explanation:

Total Cone surface area, tcs= taper surface area + area of circle

= (pi*r*s) + pi*r²

s = slant or taper

Given

Perpendicular ht = 9 cm

Hemisphere radius or cone circle radius = 4cm

Radius, slant and perpendicular make right triangle

So,

Find

Slant s = 1/2*4*9 = 18 cm

tcs = (pi*4*18)+(pi * 4²)= 266.32 cm²

Total surface area = tcs + curved Hemisphere surfaces area

Total surfaces area = tcs + 2*pi* r²

= 266.32+(2*3.14*4²)

=266.32+100.48= 366.8 cm²

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