Acone is inscribed in a regular square pyramid. if the pyramid has a base edge of 6" and a slant height of 9", find the volume of the cone.

The volume of the cone is  equal to

Step-by-step explanation:

we know that

The volume of a cone is equal to

where

r is the radius of the base

h is the height of the cone

In this problem the length of the square base of the pyramid is equal to the diameter of the base of the cone

so

Step 1

Find the height of the cone

Applying the Pythagoras Theorem

where

l is the slant height

in this problem we have

Solve for h

substitute the values

Step 2

Find the volume of the cone

we have

substitute the values

u rich

step-by-step explanation:

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.