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.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

the answer is 11.2 (i know i’m late)