Jamie has two cylindrical travel mugs with the dimensions shown below. how much more can the taller travel mug hold compared to the shorter mug?
![Jamie has two cylindrical travel mugs with the dimensions shown below how much more can the taller travel mug hold compared to the shorter mug class=](https://us-static.z-dn.net/files/d5f/6835fd69209d9f4ac166a951918dfd6b.jpg)
Answer:
B. 39.27 in.³.
Step-by-step explanation:
✔️Volume of the taller cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 6 in.
Volume = π × 2.5² × 6
Volume of taller mug = 117.81 in.³
✔️Volume of the shorter cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 4 in.
Volume = π × 2.5² × 4
Volume of taller mug = 78.54 in.³
✔️Thus:
117.81 in.³ - 78.54 in.³ = 39.27 in.³.
Therefore, the taller mug is 39.27 in.³ volume more than the shorter mug.