Question

Calculate the surface area of the following shape. Round all calculations to the nearest whole number

Answer 1

Answer:

total surface area = 672 cm^2

Step-by-step explanation:

radius of hemisphere, r = 7 cm

radius of base of cone, r = 7 cm

height of cone, h = 22-7 = 15 cm

slant length of cone, L = sqrt(7^2+15^2) = sqrt(274)

Area of the cone

= pi r L

= pi * 7 * sqrt(274)

= 115.87 pi

= 364.02 cm^2

Area of hemisphere

= 2 pi r^2

= 2 pi * 7^2

= 307.88 cm^2

Total surface area = 364.02 + 307.88 = 671.89 cm^2