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katlian
21.02.2020 •
Mathematics
Cones A and B both have volume cubic 48 π units, but have different dimensions. Cone A has radius 6 units and height 4 units. Find one possible radius and height for Cone B. Explain how you know Cone B has the same volume as Cone A.
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Ответ:
The possible dimensions of cone B will be; the radius of 3 units and height of 16 units.
Given information:
Cones A and B both have volume 48 π cubic units, but have different dimensions.
Cone A has a radius of 6 units and a height of 4 units.
It is required to find the possible values of radius and height of cone B.
Let the height of cone B be 16 units.
So, the radius of the cone B will be calculated as,
Therefore, the possible dimensions of cone B will be; the radius of 3 units and height of 16 units.
For more details, refer to the link:
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Ответ:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
The volume of a cone is given by
where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:
And
We also know that cone A has radius 6 units:
and height 4 units:
For cone B, from eq.(2), we get
One possible solution for this equation is
In fact in this case, we get:
Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.
Ответ:
Option A is correct.
Step-by-step explanation:
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