Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the volume of the three-dimensional object formed by continuously rotating the right triangle around line segment AC

Sagot :

Lanuel

The volume of the three-dimensional object (cone) formed is equal to 32π cubic units.

How to determine the volume of the three-dimensional object?

In this scenario, the effect of rotating the right triangle around line segment AB would form a three-dimensional object known as a cone, with the following dimensions:

  • Radius, r = 4 units.
  • Height, h = 6 units.

How to calculate the volume of a cone?

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Substituting the given parameters into the formula, we have;

V = 1/3 × π × 4² × 6

V = π × 16 × 2

V = 32π cubic units.

Read more on cone here: https://brainly.com/question/1082469

#SPJ1

Complete Question:

In the diagram below, right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around line segment AB?

(1) 32π

(2) 48π

(3) 96π

(4) 144π

View image Lanuel