1. A cone justs fits inside a cylinder with volume 300cm^2. what is the volume of the cone?Give reasons for your answers.

volume of cone = (1/3) volume of cylinder with the same base and height

so the volume of the cone = (1/3)(300 cm^3) = 100 cm^3

He's right. I also found this question in the principles of mathematics textbook pg. 455 question 5

Damn we all had the same question from 10 years apart loll XD

Yea lol

had the same exact question from pg 455, didn't know how to answer thanks guys!

Thank you I had this question in my Maths Worksheet

To find the volume of the cone, we need to consider the relationship between a cone and a cylinder. The cone is inscribed within the cylinder, meaning that the base (the circular face) of the cone sits perfectly on the base of the cylinder.

The volume of a cone is given by the formula Vcone = (1/3)πr²h, where r is the radius of the circular base and h is the height of the cone.

The volume of a cylinder is given by the formula Vcylinder = πr²h, where r is the radius of the circular base and h is the height of the cylinder.

Since the cone perfectly fits inside the cylinder, their heights (h) will be the same.

In this case, given that the volume of the cylinder is 300 cm³, we can set up the equation:

Vcylinder = Vcone

From the formula, we have:
πr²h = (1/3)πr²h

Canceling out πr²h on both sides, we get:
1 = (1/3)
3 = 1

As we can see, this equation is not possible. It means that the given information is incorrect or there has been some mistake in interpreting the problem. It is not possible for a cone to fit perfectly inside a cylinder with the same height and have equal volumes.