Question

A frozen yogurt shop offers frozen yogurt in the sizes shown.

The cost per cubic inch is $0.10 for each container’s contents. What is the difference between the costs of yogurt in the two containers if each is filled with yogurt? Round to the nearest cent.

Cost of the yogurt in cylinder: $
____

Cost of the yogurt in cone:$
____
Difference in cost:$
____

Answer 1

The cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like radius length in the case of cylinders and cones.

Given that:-

• The cost per cubic inch is $0.10 for each container’s contents

The volume of a cylinder:-

V   =   πr²h

V   =   π  x  (1.5)²  x  4  =  28.27 cubic inches

So the cost will be = 28.27  x   0.10  =   $2.8

The volume of the cone:-

V   =  (1  /  3  ) πr²h

V   =  (1  /  3  )   π  x  ( 1.5 )²  x  4 =  9.42 cubic inches

The cost will be =  9.42   x   0.10  = $0.94

The difference between the two costs will be:-

=    $ 2.8   -    $0.94

=   $1.86

Therefore the cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86

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