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Which Explanation Can Be Used to Informally Derive the Formula for the Volume of a Cone?

Written By Sunday, 20 February 2022 Add Comment Edit

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answer: the reply is (b) amie should have multiplied

54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.

step-past-footstep explanation: given a sphere and a cylinder with same radius and height.

permit, 'r' be the radius of the cylinder and sphere and 'h' be the meridian of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

v_s=\pi r^2h=\pi r^3,

and the volume of the cylinder will be

v_c=\dfrac{4}{3}\pi r^3=54~\textup{m}^3.

therefore, we have

v_c=\dfrac{4}{3}v_s=\dfrac{4}{3}\times 54=72~\textup{m}^3.

thus, ammie should have multiplied the book of the sphere 54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.

the equation cos(35) =a/25 can be used to notice the length of bc what is the length of bc? round to the nearest tenth

step-by-stride caption:

Correct Answer is: D. A cylinder is exactly 3 times bigger than a cone with the same superlative and radius. Therefore, the formula for the volume of a cone is 13 of the book of a cylinder with the same height and radius.

Pace-by-step explanation:

D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/three of the volume of a cylinder with the same acme and radius.

Step-by-stride explanation:

A cylinder and a cone with the same radius will have different volumes.  This is because the cone comes to a signal whereas the cylinder does not.

A filled cone will hold 1/3 of the amount of a cylinder with the aforementioned radius.  This ways that we can derive the formula for a cone past multiplying the formula for the volume of a cylinder past i/3.

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