Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Find the volume of a right circular cone that has a height of 19.9 cm and a base with a radius of 9.6

Sagot :

We are given –

  • Height (h) of cone is = 19.9cm
  • Radius (r) of cone is = 9.6 cm

According to the question, we are asked to find out volume of the cone. As we know –

  • Volume of cone = ⅓ πr²h

Substituting values –

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Volume_{(Cone)} = \dfrac{1}{3} π r^2h}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Volume_{(Cone)} = \dfrac{1}{3} π\times (9.6)² \times 19.9[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Volume_{(Cone)} = \dfrac{1}{3} π \times 92.16 \times 19. 9[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Volume_{(Cone)} = 96.4608 \times 19.9[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Volume_{(Cone)} = 1919.57\:cm³}\\[/tex]

[tex]\therefore{\underline{\textsf{ Volume of cone is \textbf{1919.57cm³}}}} [/tex]

Know More –

  • C.S.A of cone = πrl
  • T.S.A of cone = πrl + πr²
  • Volume of cuboid = l × b × h
  • C.S.A of cuboid = 2(l + b)h
  • T.S.A of cuboid = 2(lb + bh + lh)
  • C.S.A of cube = 4a²
  • T.S.A of cube = 6a²
  • Volume of cube = a³
  • Volume of sphere = 4/3πr³
  • Surface area of sphere = 4πr²
  • Volume of hemisphere = ⅔ πr³
  • C.S.A of hemisphere = 2πr²
  • T.S.A of hemisphere = 3πr²

_________________________________________

SupremeStrange

Step-by-step explanation:

Volume of cone = 1/3πr²h

here,

  • Height = 19.9 cm
  • base radius = 9.6cm

Putting the known values ,

Volume = [tex] \frac{1}{3} \times 3.14 \times 9.6 {}^{2} \times 19.9cm {}^{3} [/tex]

Volume = 1919.56 cm³

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.