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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.

2 Answers

5 votes
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! 
User Eugene Botyanovsky
by
6.7k points
3 votes

Answer:
51.5\ cm^3

Explanation:

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


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

Given: Diameter of cone = 7.5 centimeters

Therefore, radius =
(7.5)/(2)=3.75\text{ cm}

Height of cone = 3.5 cm

Thus, the volume of given cone will be :-


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

Hence, the given feeder can hold
51.5\ cm^3 of feed .

User Cellcortex
by
6.5k points
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