Question

recreational logic, the teapot A has the same diameter as the teapot B, but it is one and one-half times as tall as the green teapot. If the teapot A can hold maximum of 6 cups of tea, then estimate the maximum numbers of cups of tea that teapot A can hold

Answer 1

Given : the teapot A has the same diameter as the teapot B, but it is one and one-half times as tall as the green teapot.

To Find : if teapot A can hold maximum of 6 cups of tea, maximum numbers of cups of tea that teapot B can hold

if teapot B can hold maximum of 6 cups of tea, maximum numbers of cups of tea that teapot A can hold

Solution:

teapot A has the same diameter as the teapot B

Tea pot in cylindrical shapes

Volume = πr²h

if Diameter is same then radius is also same

VB = πr²h

VA = πr²(1.5h)

=> VA = 1.5VB

teapot A can hold maximum of 6 cups of tea,

=> 6 = 1.5VB

=> VB = 4 cup of Tea

if A can hold maximum  6 cups of tea, then B can hold maximum 4 cups of tea

teapot B can hold maximum of 6 cups of tea,

=> VA  = 1.5(6)

=> VA = 9 cup of Tea  

if B can hold maximum  6 cups of tea, then A can hold maximum 9 cups of tea

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