A conical flask filled with liquid has a radius of 10 cm and a height of 10 cm. How high must a cylinder be to hold the same amount of liquid with a radius of 5 cm?

40/3; 13.3333333333333

Step-by-step explanation:

The volume of the cone is:

(1/3)(pi)(r^2)(h) =

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

1000pi/3

The volume of the cylinder is:

(pi)(r^2)(h) =

(pi)(5^2)(h) =

25pi(h) = 1000pi/3 -->

pi(h) = 40pi/3 -->

h = 40/3

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign