A right circular cylinder has a base whose area is 154 square feet. If the height of the cylinder is 19 feet, what is its lateral area? Use π =

Question

amistre64 · Answer

the key is to find the circumference of the base and multiply that by the height

anonymous · Answer

how do you find the circumfrence?

amistre64 · Answer

all we need is a radius; which we can grab from the formula for the area of a circle,  do you remember the formula for the area of a circle?

anonymous · Answer

circumfrence is 2*pie*r

amistre64 · Answer

Circumference = 2pi radius

Area = pi radius^2

they give us the area to work with so we can solve Area for radius

sqrt(Area/pi) = radius

use this in the Circumference formula

C = 2pi*sqrt(Area/pi)

and C*height is our answer

just fill in the knowns now right?

amistre64 · Answer

if we wanna get fancy, we can insert that 2pi into the sqrt by squareing it

C = sqrt(4pipiArea/pi) = sqrt(4pi Area)

anonymous · Answer

whats sqrt mean? ahah

amistre64 · Answer

its keyboard for that square root symbol that looks like a division

anonymous · Answer

ohh ok

amistre64 · Answer

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