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.
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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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