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A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.

A Cylinder Has Been Cut Out Of A Solid Find The Volume Of The Remaining Solid Round Answer To The Nearest Tenth class=

Sagot :

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

The volume of remaining solid is 46.44 in³

What is Volume?

Volume is the measure of the capacity that an object holds.

For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains. The best way to visualize volume is to think of it in terms of the space.

How To Calculate the Volume?

Here are the steps to calculate volume of any solid shape:

  • Identify all the given parameters that are useful and are required to substitute in the respective volume formula. Such as the radius to be 'r' and height to be 'h', the slant height, diameter, etc.
  • Make sure all the parameters are of the same units.
  • Substitute the values in the volume formula of the respective shapes.
  • Write the units as cubic units.

edge= 6

Volume of cube= l³

= 6*6*6

=216 in³

Now, Volume of cylinder

=πr²h

= 3.14 * 3 * 3 * 6

=169.56 in³

Volume of remaining solid= 216- 169.56

=46.44 in³

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