Question

A cylindrical container can hold 4 quarts of water if its radius and height are both tripled how much water can it hold?

Answer 1

108quartz

Explanation:

Volume of a cylinder = πr²h

r is the radius

h is the height

If A cylindrical container can hold 4 quarts of water, then;

4 = πr²h ...... 1

Let the volume be x of the radius and height at tripled

h1 = 3h

r1 = 3r

X = πr1²h1

X = π(3r)²(3h)

X = 9πr²(3h)

X = 27πr²h .... 2

Divide 1 by 2

4/x = πr²h/27πr²h

4/x = 1/27

Cross multiply

x = 4×27

x = 108

Hence the container can hold 108quartz of water of the radius and height was tripled.