The height of a cylinder is 13centimeters. The volume of the cylinder is 16,328 cubic centimeters. What is the radius of the cylinder? Use 22/7 or 3.14 for p.

radius = 19.99 centimeters

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 22/7

From the information given,

Volume = 16328 cubic centimeters

Height = 13 centimeters

Therefore,

16328 = 22/7 × r² × 13

16328 = 40.857r²

Dividing the left hand side and the right hand side of the equation by 40.857, it becomes

r² = 16328/40.857 = 399.6378

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = 19.99 centimeters

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

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step-by-step explanation: