rjakimowich1
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals 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 using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.