Question

Please Answer!!!!

Answer 1

First mug holds the most

Solution:

Given that,

You are choosing between two mugs

The volume of cylinder is given as:

$V = \pi r^2h$

Where,

r is the radius and h is the height

One has a base that is 5.5 inches in diameter and a height of 3 inches

$radius = \frac{diameter}{2}$

Therefore,

$r = \frac{5.5}{2}\\\\r = 2.75$

Also, h = 3 inches

Thus volume of cylinder is given as:

$V = \pi \times 2.75^2 \times 3\\\\V = 3.14 \times 22.6875\\\\V = 71.23875 \approx 71.24$

Thus first mug holds 71.24 cubic inches

The other has a base of 4.5 inches in diameter and a height of 4 inches

$Radius = \frac{4.5}{2}\\\\r = 2.25$

h = 4 inches

Therefore,

$V = 3.14 \times 2.25^2 \times 4\\\\V = 3.14 \times 20.25\\\\V = 63.585$

Thus the second mug holds 63.585 cubic inches

On comparing, volume of both mugs,

Volume of first mug > volume of second mug

First mug holds the most