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Harold uses a cone shaped feeder, with a diameter of 7.5 centimeters and a height of 3.5 centimeters, to feed his tropical fish. How many cubic centimeters of feed can this feeder hold? Use 3.14 for pi. Enter your answer in the box as a decimal rounded to the nearest tenth.

Respuesta :

To find the volume of a cone you use the formula "1/3 x 3.14 x r^2 x h". Plug the formula into the problem. 1/3 x 3.14 x 3.75^2 x 3.5 =51.51. Rounded to the nearest tenth is 51.5. Hope this helps! 
JeanaShupp

Answer: [tex]51.5\ cm^3[/tex]

Step-by-step explanation:

We know that the volume of a cone is given by :-

[tex]\text{Volume}=\frac{1}{3}\pi r^2h[/tex], where r is the radius and h is the height of the cone.

Given: Diameter of cone = 7.5 centimeters

Therefore, radius = [tex]\frac{7.5}{2}=3.75\text{ cm}[/tex]

Height of cone = 3.5 cm

Thus, the volume of given cone will be :-

[tex]\text{Volume}=\frac{1}{3}(3.14)(3.75)^2(3.5)\\\\\Rightarrow\text{Volume}=51.515625\approx51.5\ cm^3[/tex]

Hence, the given feeder can hold  [tex]51.5\ cm^3[/tex]  of feed .

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