Please Help!!!!!!?
2.Find the total surface area AND volume of a right cylinder with a height of 22 cm and a radius of 8 cm (to one decimal place). (4)
Favorite Answer
= 1/3 * 150 * 80^2
= 320,000 cm^3
total surface area = bottom square area + 4 x triangle area
bottom square area = 80 * 80 = 1600 cm^2
triangle area = 1/2 * side length * triangle height
triangle height = sqrt (220^2 – (80/2)^2)
= sqrt (48400 -1600)
= sqrt 46800
=216.33
triangle area = 1/2 * 80 * 216.33
= 8653.2
total surface area = bottom square area + 4 x triangle area
= 1600 + 4 * 8653.2
= 36212.8 cm^2
2. right cylinder volume = circle area * cylinder height
circle area = (phi) * r^2
= 3.1416 * 8^2
= 201.06 cm^2
right cylinder volume = circle area * cylinder height
= 201.06 * 22
= 4423.4 cm^3
total right cylinder surface area = 2 * circle area + (cyl height * cyl round)
= 2 * (phi)*8^2 + (22 * 2*(phi)*8)
= 402.12 + 1105.84
= 1507.96 cm^2
~ 1508 cm^2
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