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in this unit, you calculated the surface area of solid figures composed of polygons, such as rectangles and triangles. but imagine finding the surface area of a cylinder—a solid figure that has several curved surfaces. a cylinder is made up of two circular bases and a curved (lateral) surface in between. develop a formula for finding the surface area of the outside of a cylinder based on what you know about the circumference of a circle and the areas of circles and rectangles. (hint: think about rolling a rectangular piece of paper into the shape of a cylinder.) discuss your approach and why it works.

➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2

To start with, we can use this:

2 (r^2)

^^ This represents the surface area of the two circles

A cylinder also has a rectangle which is rolled to form the shape

As we know, the formula of a rectangles area is length x width

The width of the rectangle would be equal to the circumference of a circle

circumference of circle =

The length of the rectangle would be the height of the cylinder

We can use this:

This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

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step-by-step explanation: