Find the volume of this cone. Use 3 for T.
V =
71 r2h
3
V
V ~ [?]in3
110in
4in

V = 40 in^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 4 so the radius is 1/2 the diameter or 1/2(4) =2

The height is 10 and we are using 3 for pi

V = 1/3 (3)(2)^2 (10)

V = 40 in^3

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.