Question

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

Answer 1

Answer:

94.2 cm³

Step-by-step explanation:

Consider the below figure attached with this question.

Diameter of cone : d = 6 cm

Radius of cone: r = d/2 = 6/2 = 3 cm

Height of cone : h = 10 cm

We need to find the amount of water that can the cup hold when full. It means we need to find the volume of cone.

Volume of cone is

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

Substitute the given values in the above formula.

$V=\dfrac{1}{3}(3.14)(3)^2(10)$

$V=\dfrac{1}{3}(3.14)(9)(10)$

$V=94.2$

Therefore, the cup can hold 94.2 cm³ water.