Amedium sized paper cone has a diameter of 8 cm and a height of 10 cm what is the volume of the cone

V =167.5516082 cm^3

Step-by-step explanation:

Volume of a cone is given by

V = 1/3 pi r^2 h

We have the diameter, so we need to get the radius

d= 2r

Divide by 2

d/2 =r

8/2 =r

4= r

V = 1/3 *pi *(4)^2 *10

   = 1/3 *pi*16*10

        53 1/3 pi  cm^3

Let pi = 3.14

V =167.5516082 cm^3

step-by-step explanation:

f

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.