Answered

Join the conversation on IDNLearn.com and get the answers you seek from experts. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.

Find the volume of the cone.

Find The Volume Of The Cone class=

Sagot :

Answer:

Step-by-step explanation:

volume=1/3 πr²h

=1/3×π×3²×4

=12π ft³

≈37.70 ft³

ItzStarzMeidn

Answer :

  • 37.7 cm³ is the volume of the cone.

Explaination :

Here we have to calculate the volume of the cone which is provided in the figure.

As we know that volume of cone is calculated by the formula :

  • [tex]\orange{\boxed{\bf{V \: = \: \frac{1}{3} \: \pi \:r {}^{2}h }}} [/tex]

Here,

  • r is radius
  • h is height
  • Value of π is 22/7

We have :

  • Radius (r) is 3 ft.
  • Height (h) is 4 ft.

Putting the values in the formula :

[tex]\longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \pi \:r {}^{2}h } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(3) {}^{2}(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(3 \times 3)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(9)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \: \times 9(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \: \times 9 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{ \cancel3} \: \times \dfrac{22}{7} \: \times \cancel9 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{1} \: \times \dfrac{22}{7} \: \times 3 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{22}{7} \: \times 3 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{22 \times 3 \times 4}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{66 \times 4}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{264}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \cancel\dfrac{264}{7} } \\ \\ \longrightarrow \: \underline{\underline{\red{\bf{V \: = \: 37.7 }}}}[/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.