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  • 23-07-2020
  • Mathematics
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Calculate the surface area of the following shape. Round all calculations to the nearest whole number

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

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mathmate
mathmate mathmate
  • 23-07-2020

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

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