Solve The Following Problem:, 1. The Can Has A Volume Of 3165cm\Xb3 And A Height Of 28cm. What Is The Diameter?, 2. This Can Has A Radius Of 2ft And A

Solve the following problem:

1. The can has a volume of 3165cm³ and a height of 28cm. What is the diameter?
2. This can has a radius of 2ft and a height of 4ft. What is the volume?
(Pls answer:) )

 

Answer:

  1. Diameter of can= 12 cm
  2. Volume of can=50.27 ft^{3}

Step-by-step explanation:

Assumptions: The can is cylindrical.

Formula: Before answering the two problems, we should first identify the formula that will be used.

  • Volume of cylinder: Volume= (Area of base)(height)
  • Volume of cylinder in terms of radius: Volume=\pi (radius)^{2} (height)
  • Volume of cylinder in terms of diameter: Volume=\frac{\pi }{4} (diameter)^{2}(height)

Another common question is how to find the radius of a cylinder given the volume and height. In order to answer this, the equations above can be derived to find the radius or even the diameter.

The derived equations are:

  1. radius=\sqrt{\frac{Volume of cylinder}{\pi *height} }
  2. diameter=2\sqrt{\frac{Volume of cylinder}{\pi *height} }

Solution for the questions:

Number 1: Find the diameter with given volume and height. Use derived equation number 2 above.

  1. Given: Volume= 3165 cubic cm and height=28 cm
  2. diameter=2\sqrt{\frac{Volume of cylinder}{\pi*height } } \\ diameter=2\sqrt{\frac{3165 cm^{3} }{\pi*28 cm } }\\ diameter=11.997 cm or 12 cm

Number 2: Find the volume of the cylinder with given radius and height. Use the volume of cylinder formula in terms of radius.

  1. Given: radius= 2 ft and height=4 ft
  2. Volume=\pi (radius)^{2} (height)\\ Volume=\pi (2 ft)^{2}(4 ft)\\ Volume=50.27 ft^{3}

Therefore, the diameter for number 1 is approximately 12 cm and the volume for number 2 is 50.27 ft^{3}.


For other practice problems and reference, please refer to:

brainly.ph/question/104970

brainly.ph/question/1440221

brainly.ph/question/1488924


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