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MA_775_DIABLO [31]
2 years ago
13

Con ANB both have a volume of 48 pied Cubic units but have different dimensions Cohen a has a radius six units and a height for

units find the one possible radius and height for can be to have the same volume as cone
Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

Your question is difficult to understand, that is why I am going to edit your question as follow:

<u>Edited Question:</u>

Cone A and B both have a volume of 48π Cubic units but have different dimensions. Cone A has a radius=6 units and a height=4 units.

Find the one possible radius and height for cone B be to have the same volume as cone A.

Answer:

Radius of cone B= 6units

Height of cone B=units

Step-by-step explanation:

As we know the formula for the volume of a cone is

V=\pi\ r^{2}\frac{h}{3}

If volume of A and Volume B is given as same, thus

V_{A}=V_{B}

\pi\ (R_{A}) ^{2}\frac{H_{A} }{3}  =\pi\ (R_{B}) ^{2}\frac{H_{B} }{3}

comparing equations above, we get

R_{A}=R_{B}\\H_{A}=H_{B}

Thus, Radius of cone A=6units

and

Height of cone B= 4units

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