urgent

[katie25]

the lateral surface of a cylinder with a diameter of 60 feet and height of 150 feet needs to be painted. find the lateral area of the cylinder to the nearest tenth.

 

[tkhunny]

Nearest 10th of what?

\(\displaystyle \pi r^{2}h\) - Go!!

 

[Mrspi]

the lateral surface of a cylinder with a diameter of 60 feet and height of 150 feet needs to be painted. find the lateral area of the cylinder to the nearest tenth.

The lateral surface area of a cylinder is the same as the area of a rectangle whose width is the height of the cylinder and whose length is the circumference of the cylinder (imagine a "label" that covers the lateral surface of the cylinder...it would be a rectangle which "just fits" the cylinder like the label on a soup can).

So....

Lateral Area of Cylinder = height * circumference
Lateral Area of Cylinder = h * (pi*d)

Since the diameter and height are given in feet, the area will be in SQUARE FEET, and your answer should be rounded to the nearest tenth of a square foot.

(I think tkhunny gave the formula for the VOLUME of the cylinder instead)

 

[Denis]

Nearest 10th of what?
\(\displaystyle \pi r^{2}h\) - Go!!

To the corner you go...

 

[tkhunny]

Did I do that again!? Sorry, you needed Area, not Volume!