Cone a has a radius of 2 inches and a height of 3 inches. in cone b, the height is the same, but the radius is doubled. calculate the volume of both cones. which statement is accurate?

Volume of cone A = 4 pi cubic inches , Volume of cone B= 16 pi cubic inches.

Volume of cone B is 4 times of volume of cone A.

Step-by-step explanation:

Given : Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled.

To find : Calculate the volume of both cones. Which statement is accurate.

Solution : We have given two cones A and cone B.

Radius of cone A =  2 inches.

Height of cone A= 3 inches.

Radius of cone B=  4 inches. ( double of radius of cone A)

Height of cone A= 3 inches.

Volume of cone =  .

Volume of cone A = .

Volume of cone A = 4 pi cubic inches.

Volume of cone B =  .

Volume of cone B= 16 pi cubic inches.

Volume of cone B is 4 times of volume of cone A.

Therefore, Volume of cone A = 4 pi cubic inches , Volume of cone B= 16 pi cubic inches.

Volume of cone B is 4 times of volume of cone A.

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.