!!!The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?

The answer is

Step-by-step explanation:

Volume of a cylinder is given by

where

h is the height

r is the radius

V is the volume

Since we are finding the height

From the question

V = 675π cm³

r = 5 cm

Substitute the values into the formula and solve for the height

That's

We have the final answer as

27 cm

Hope this helps you

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.