corinjean39 corinjean39

20-05-2021
Mathematics

contestada

A cone and a sphere have the same volume the base of the cone has a radius of 8 feet and the sphere has a radius of 6 feet what is the height of the cone?

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alexisinasock alexisinasock

21-05-2021

Step-by-step explanation:

Volume of Cone=

[tex] \frac{1}{3} \pi \: r {}^{2} h[/tex]

Volume of Sphere=

[tex]\frac{4}{3} \pi \: r {}^{3} [/tex]

Since VC = VS

[tex] \frac{1}{3} \times 3.14 \times 8 {}^{2} \times h = \frac{4}{3} \times 3.14 \times 216[/tex]

66.99h = 904.32

h = 904.32 ÷66.99

h= 13.5 feet

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