1.Malcolm states that it takes 3 cones to fill a cylinder with the same base and height. Angus states that it takes 13 of a cylinder to fill a cone with the same base and height. Who is correct?
Only Angus is correct.
Both Malcolm and Angus are correct.
Only Malcolm is correct.
Neither Malcolm nor Angus is correct.
2.A right cylinder has a base area of 18 square inches and a height of 10 inches. A rectangular prism has a base area of 18 square inches and a height of 10 inches. How do the volumes of the two solids compare?
The volumes cannot be compared using the given information.
The volume of the cylinder will be greater than the volume of the prism.
The volume of the prism will be greater than the volume of the cylinder.
The volume of the solids will be the same because they have the same base area and height.
Geez - learn how to type fractions. See that big "/" key there?
prism/cylinder things: A = Bh
pointy things: A = 1/3 Bh
it had no fractions
1. To determine who is correct, we need to compare the volumes of the cone and the cylinder.
To find the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
To find the volume of a cylinder, we use the formula V = πr^2h, where r is the radius of the base and h is the height.
Since the cone and the cylinder have the same base and height, the only difference is that the cone has 1/3 the volume of the cylinder. Therefore, Angus is correct when he states that it takes 13 cones to fill a cylinder.
So the correct answer is: Only Angus is correct.
2. To compare the volumes of the cylinder and the prism, we need to use the formula for volume.
The volume of a cylinder is given by V = πr^2h, where r is the radius of the base and h is the height.
The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
In this case, both the cylinder and the prism have the same base area of 18 square inches and the same height of 10 inches. However, we don't have enough information about the dimensions of the prism (length and width) to determine the exact volume.
Therefore, the correct answer is: The volumes cannot be compared using the given information.
yes, it did. "it takes 13 of a cylinder" should have said 1/3
"13 of a cylinder" is gibberish