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the figure shows a paper container used to hold popcorn. the container forms a cone with a radius of 5 centimeters and a height of 15 centimeters. what is the volume of the container in cubic centimeters?

Respuesta :

mhanifa

Answer:

  • 392.5 cm³

Step-by-step explanation:

Volume of cone formula

  • V = 1/3πr²h

Find the volume using this formula

  • V = 1/3*3.14*5²*15 = 392.5 cm³
TheAmethyst

Answer:

  • Volume of container is 392.5 cm³

Step-by-step explanation:

In the question it is given that ,

  • Radius of cone = 5 cm

  • Height of cone = 15 cm

And we have asked to find the volume of conical container in cubic centimetre . So formula for volume of cone is ,

[tex] \boxed{ \sf{Volume \: of \: Cone = \frac{1}{3} \pi r {}^{2}h }}[/tex]

Where ,

  • π = 3.14

  • r = radius of cone

  • h = height of cone

So , substituting values of r and h ,

[tex] \longrightarrow \: \frac{1}{3} \times 3.14 \times (5) {}^{2} \times 15[/tex]

Now , calculating the values ,

[tex] \longrightarrow \: \frac{1}{3} \times 3.14\times 25 \times 15[/tex]

[tex] \longrightarrow \: \frac{1}{ \cancel3} \times 3.14\times 25 \times \cancel{15}[/tex]

[tex] \longrightarrow \:1 \times 3.14 \times 25 \times 5[/tex]

[tex] \longrightarrow \: 3.14 \times 125[/tex]

[tex] \longrightarrow \: \pink{ \boxed{\bold{392.5 \: cm {}^{3} }}}[/tex]

  • Therefore, volume of cone is 392.5 cm³

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