Answered

IDNLearn.com is the place where your questions are met with thoughtful and precise answers. Our community provides timely and precise responses to help you understand and solve any issue you face.

Please help
Worth 20 points
Show the work

Please Help Worth 20 Points Show The Work class=

Sagot :

Sqdancefanidn

Answer:

  • area: 60π cm² ≈ 188.5 cm²
  • volume: 63π cm³ ≈ 197.9 cm³
  • doubling the radius

Step-by-step explanation:

(a)

The surface area of a right cylinder is given by the formula ...

  SA = 2πr(r +h) . . . . . radius r, height h

Filling in the given values, we find the area to be ...

  SA = 2π(3 cm)(3 +7 cm) = 60π cm² ≈ 188.5 cm²

__

(b)

The volume of the cylinder is given by the formula ...

  V = πr²h . . . . . radius r, height h

Filling in the given values, we find the volume to be ...

  V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³

__

(c)

The volume is proportional to r², so doubling the radius will multiply the volume by 2² = 4.

The volume is proportional to the height, so multiplying the height by 3 will multiply the volume by 3.

  4 > 3, so doubling the radius gives the most volume

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.