Question

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?

Answer 1

Question:

The complete figure of question is attached below

Answer:

The cup can hold 94.2 $cm^3$ or $30 \pi\ cm^3$ of water

Solution:

Given that,

Diameter = 6 cm

$Radius = \frac{diameter}{2}\\\\Radius = \frac{6}{2}\\\\Radius = 3\ cm$

Also,

Height = 10 cm

The volume of cone is given as:

$V = \frac{1}{3} \times \pi \times r^2 \times h$

Where,

"r" is the radius and "h" is the height

Substituting the values we get,

$V = \frac{1}{3} \times \pi \times 3^2 \times 10\\\\V = \pi \times 3 \times 10\\\\V = 30 \pi\\\\V = 30 \times 3.14\\\\V = 94.2\ cm^3$

Thus the volume of cup is 94.2 $cm^3$ or $30 \pi\ cm^3$