saladdressing2456 saladdressing2456
  • 31-05-2022
  • Mathematics
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Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. leave your answer in terms of π.

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notleoprobably
notleoprobably notleoprobably
  • 31-05-2022

Answer:

60π

Step-by-step explanation:

Formula for surface area of a cylinder is 2πrh + 2r²π

2πrh: this is the formula to find the area of the cylinder itself (circumference of the base times the height of the cylinder)

2r²π: this is the formula to find the area of the 2 circles at the end of the cylinder (area of a circle times 2)

We can substitute h with 7 and r with 3 to solve:

2πrh + 2r²π

2(3)(7)π + 2π(3²)

42π + 18π

60π

That is your answer

- Kan Academy Advance

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