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In-s [12.5K]
3 years ago
12

Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inc

hes c. 8.25 inches b. 4.55 inches d. 3.65 inches
Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

The height of the right circular cylinder is 4.55 inches ⇒ b

Step-by-step explanation:

The formula of the surface area of a right circular cylinder is

S.A = 2πrh + 2πr², where

  • r is its radius
  • h is its height

∵ The surface area of a right circular cylinder is 300 square inches

∴ S.A = 300 in.²

∵ Its radius is 5 inches

∴ r = 5 in.

∵ π = 3.14

→ Substitute them in the rule above

∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²

∴ 300 = 31.4h + 157

→ Subtract 157 from both sides

∵ 300 - 157 = 31.4h + 157 - 157

∴ 143 = 31.4h

→ Divide both sides by 31.4

∵ 4.554140127 = h

∴ 4.55 = h

∴ The height of the right circular cylinder is 4.55 inches

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