A cylinder and a come have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has radius of 3 inches . what is the height of the cone ?

4in

Step-by-step explanation:

Volume of a cylinder = πR²H

Volume of a cone = 1/3πr²h

πR²H = 1/3πr²h

π is very common so it could be cancelled, so the equation now becomes

R²H = 1/3r²h

3R²H = r²h

Now substitute for the values

h = 3 x 2² x 3

3²

= 9 x 4/9

= 4in.

Therefore, the height of the cone

h = 4in.

c.

step-by-step explanation:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x