A cylinder has a radius of 3.5 cm and a height of 8 cm. Find its total surface area. S=2rt2/r²

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

A cylinder has a radius of 3.5 cm and a height of 8 cm. Find its total surface area.

**Formula:**
\[ S = 2\pi rh + 2\pi r^2 \]

**Explanation:**

To find the total surface area of a cylinder, we use the formula:

- \( 2\pi rh \) calculates the lateral surface area (side of the cylinder).
- \( 2\pi r^2 \) calculates the area of the two circular bases.

By using the given measurements:

- Radius (\( r \)) = 3.5 cm
- Height (\( h \)) = 8 cm

Plug these values into the formula to find the total surface area.
Transcribed Image Text:**Problem Statement:** A cylinder has a radius of 3.5 cm and a height of 8 cm. Find its total surface area. **Formula:** \[ S = 2\pi rh + 2\pi r^2 \] **Explanation:** To find the total surface area of a cylinder, we use the formula: - \( 2\pi rh \) calculates the lateral surface area (side of the cylinder). - \( 2\pi r^2 \) calculates the area of the two circular bases. By using the given measurements: - Radius (\( r \)) = 3.5 cm - Height (\( h \)) = 8 cm Plug these values into the formula to find the total surface area.
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