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A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320Ï€ cubic units 597Ï€ cubic units 640Ï€ cubic units 725Ï€ cubic units

Respuesta :

Answer:

640pi

Step-by-step explanation:

it is what it is.

MrRoyal

The unfilled volume of the cylinder is 640Ï€

What is volume?

The volume of a shape (e.g. cone) is the amount of space in the shape i.e. the cone

Below, is how to calculate the unfilled volume inside the cylinder

The given parameters are:

Cone

  • Length = 17 units
  • Radius = 8 units

Cylinder

  • Height = 15 units
  • Radius = 8 units

The volume of a cylinder is:

V = πr²h

So, we have:

V = π * 8² * 15

Evaluate

V = 960Ï€

The volume of a cone is:

V = 1/3πr²h

Start by calculating the height (h) of the cone using:

h² = l² - r²

This gives

h² = 17² - 8²

Evaluate

h = 15

So, we have:

V = 1/3π * 8² * 15

Evaluate

V = 320Ï€

Calculate the difference (d)

d = 960Ï€ - 320Ï€

Evaluate the difference

d = 640Ï€

Hence, the unfilled volume of the cylinder is 640Ï€

Read more about volumes at:

https://brainly.com/question/1972490

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