1. At closed cylinder has radiss 3 cm and height 7 cm Find is tatal surface area

Question

UpStudy AI · Accepted Answer

To find the total surface area of a closed cylinder, we need to calculate the area of the two circular bases and the area of the curved surface.

Given:
- Radius of the cylinder (r) = 3 cm
- Height of the cylinder (h) = 7 cm

The formula for the total surface area of a closed cylinder is:
$$ \text{Total Surface Area} = 2 \pi r^2 + 2 \pi r h $$

Substitute the given values into the formula:
$$ \text{Total Surface Area} = 2 \pi (3)^2 + 2 \pi (3) (7) $$

Now, we can calculate the total surface area.
Calculate the value by following steps:
- step0: Calculate:
  $$2\pi \times 3^{2}+2\pi \times 3\times 7$$
- step1: Multiply the terms:
  $$18\pi +2\pi \times 3\times 7$$
- step2: Multiply the terms:
  $$18\pi +42\pi $$
- step3: Collect like terms:
  $$\left(18+42\right)\pi $$
- step4: Add the numbers:
  $$60\pi $$
The total surface area of the closed cylinder with a radius of 3 cm and a height of 7 cm is approximately 188.5 cm².
The total surface area of the closed cylinder is approximately 188.5 cm².

At closed cylinder
has radiss 3 cm
and height 7 cm
Find is tatal surface
area

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