HELP!!Part B What is the approximate volume of each slice that Hattie's grandma cut? (arc length of each slice is 3 in, vol. of cake is 81pi with 8in diameter and 4in tall, she cuts 4 peices) Select the correct answer. a) 19 in b) 27 in c) 38 in d) 108 in​

Respuesta :

The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the slice is;

[tex]\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi \times (r)^2 \times 4 \\\\ r= 4.5 \ inch[/tex]

If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;

The approximate volume of each slice will be;

[tex]\rm V = \PI r^2 h \\\\ \rm V = 3.14 \times (4.5)^2 \times 1 \\\\ V=63.5 \ inch^2[/tex]

Hence, the approximate volume of each slice will be 63.5 inch².

Learn more about the volume here:

https://brainly.com/question/16788902

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