rjakimowich1
Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

simple geometry question please help :)

Simple Geometry Question Please Help class=

Sagot :

volume of the composite figure = volume of cylinder - volume of cone

volume of cylinder = πr²h

[tex] \frac{22}{7} \times 8 \times 8 \times 12 \\ \\ = > \frac{16896}{7} \: ft {}^{3} [/tex]

volume of cone = 1/3 πr²h

[tex] \frac{1}{3} \times \frac{22}{7} \times 8 \times 8 \times 12 \\ \\ = > \frac{16896}{21} \: ft {}^{3} [/tex]

[tex]total \: volume = \frac{16896}{7} - \frac{16896}{21} \\ \\ = > \frac{50688 - 16896}{21} \\ \\ = > \frac{33792}{21} \\ \\ = > 1609.14 \: ft {}^{3} (approx.)[/tex]

hope helpful~

ᴜᴋɪʏᴏ

Answer:

[tex]\large\boxed{\sf\: Volume \: of \: the \: figure\: \approx \: 1607.68\: feet^{3}}[/tex]

Step-by-step explanation:

We need to find the volume of each composite figure given in the question. Here, the figures are ⟶ a cylinder & a cone.

Given,

  • Radius (r) = 8 feet
  • Height (h) = 12 feet
  • Take the value of π = 3.14

NOTE: The values of the radius & the height of both the figures remain the same as the cone is fit inside the cylinder.

The formulae of the volume of the figures are [tex]\downarrow[/tex]

  • Cylinder = πr²h
  • Cone = ⅓ πr²h

So,

Volume of cylinder

= πr²h

= 3.14 × (8)² × 12

= 2,411.52 feet³ (approx.)

Volume of cone

= ⅓ πr²h

= ⅓ × Volume of cylinder

= ⅓ × 2,411.52

= 803.84 feet³ (approx.)

Thus, the total volume of the figure

= Volume of cylinder - Volume of the cone

= 2,411.52 - 803.84

= 1,607.68 feet³ (approx.)

•°• Total volume of the composite figure = 1,607.68 feet³ (approx)

_______________

Hope this helps!

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.