A cone with radius 333 units is shown below. Its volume is 575757 cubic units. Find the height of the cone. Use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.

Respuesta :

Answer: 6.05 units

Step-by-step explanation:

Correct question is:

A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.

Hi, to answer this question we have to apply the next formula:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

57 = 1/3x  3.14 x (3)^2 (h)

Solving for h

57 = 1/3 x 3.14 x  9 (h)

57 =9.42h

57/9.42 =h

h= 6.05 units

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Answer:

6.05 units

Step-by-step explanation: