Question

A conical cup has a height of 21cm and the diameter of its base is 18cm . Then the amount of water it can hold is

Answer 1

For cone :-

Height (h) = 21 cm

Diameter (d) = 18 cm

Radius (r) = 18/2 = 9 cm

Volume of conical cup = Volume of water it can hold

Volume of conical cup =

$\implies\frac{1}{3}\pi {r}^{2}h$

$\implies\frac{1}{3}\times\frac{22}{7}\times9\times 9\times 3$

$\implies\frac{1}{\cancel3} \times \frac{22}{ \cancel7} \times \cancel{9}\times 9 \times \cancel{2}$

$\implies 22 \times 3 \times 9 \times 3 \\ \implies 66 \times 27$

= 1783 cm^3

Answer 2

It can hold 1.782 liters amount of water

Step-by-step explanation:

Height of conical cup = 21 cm

Diameter of conical cup = 18 cm

Radius of conical cup =$\frac{18}{2} = 9 cm$

Volume of conical cup =$\frac{1}{3} \pi r^2 h = \frac{1}{3} \times \frac{22}{7} \times 9^2 \times 21=1782 cm^3$

1 cubic cm =0.001 liters

1782 cubic cm =$0.001 \times 1782 =1.782 liters$

Hence It can hold 1.782 liters amount of water

#Learn more:

If height and radius of cone is tripled find the volume of new cone and of that of original volume

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