betzywhatshappening
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

The radius of a cylinder is 6.0 inches and the height is 9.0 inches, what is the volume of the cylinder? if the cylinder is enlarged by a linear scale factor of 3, what is the volume of the enlarged cylinder?​

Sagot :

Supernova

Answer:

A) The volume of the cylinder is 1017.9 in³.

B) The volume of the enlarged cylinder is 27,482.7 in³.

Step-by-step explanation:

What is the volume of the cylinder?

The radius of the cylinder is r = 6 in and the height is h = 9 in.

The volume of a cylinder can be found using the formula:

  • V = πr²h

Substitute r = 6 and h = 9 into the formula.

  • V = π(6)²(9)
  • V = π(36)(9)
  • V = π(324)
  • V = 1017.876

The volume of the cylinder is 1017.876 in³.

What is the volume of the enlarged cylinder?

If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.

Therefore, we need to multiply the original volume by a factor of three cubed; 3³.

  • V_enlarged = V · 3³
  • V_enlarged = 1017.876 · 27 = 27482.652 in³

The volume of the enlarged cylinder is 27,482.652 in³.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.