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What is the volume of the composite figure if both the height and the diameter of the cylinder are 2.5 feet? Give the exact answer and approximate to two decimal places.

hope it helps make brainlliest ty

Step-by-step explanation:

In the real world, calculating volume is probably not something that you will use as often as calculating area.

However it can still be important. Being able to calculate volume will enable you to, for example, work out how much packing space you have when moving house, how much office space you need, or how much jam you can fit into a jar.

It can also be useful for understanding what the media mean when they talk about the capacity of a dam or the flow of a river.

Calculating Area and Volume. Area is measured in units squared, how many squares will fit into a flat (two dimensional space)?

Volume is measured in units cubed, how many cubes will fit into a solid (three-dimensional) object?

A Note on Units

Area is expressed in square units, because it is two measurements multiplied together.

Volume is expressed in cubic units, because it is the sum of three measurements (length, width and depth) multiplied together. Cubic units include cm3, m3 and cubic feet.

WARNING!

Volume can also be expressed as liquid capacity.

Metric System

In the metric system liquid capacity is measured in litres, which is directly comparable with the cubic measurement, since 1ml = 1cm3. 1 litre = 1,000 ml = 1,000cm3.

Imperial/English System

In the imperial/English system the equivalent measurements are fluid ounces, pints, quarts and gallons, which are not easily translated into cubic feet. It is therefore best to stick to either liquid or solid volume units.

For more, see our page on Systems of Measurement

Basic Formulas for Calculating Volume

Volume of Rectangle-Based Solids

Area = Width x Length. Volume = Width x Length x Height.

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'. The important thing is that the three dimensions are multiplied together. You can multiply in which ever order you like as it won't change the answer (see our page on multiplication for more).

A box with the dimensions 15cm width, 25cm length and 5 cm height has a volume of:

15 × 25 × 5 = 1875cm3

Volume of Prisms and Cylinders

This basic formula can be extended to cover the volume of cylinders and prisms too. Instead of a rectangular end, you simply have another shape: a circle for cylinders, a triangle, hexagon or, indeed, any other polygon for a prism.

Effectively, for cylinders and prisms, the volume is the area of one side multiplied by the depth or height of the shape.

The basic formula for volume of prisms and cylinders is therefore:

Area of the end shape × the height/depth of the prism/cylinder.

Read more at: https://www.skillsyouneed.com/num/volume.html

16.36 ft3

Step-by-step explanation:

Volume of a Cylinder

V= π  r2 h

π • 1.253 • 2.5 = 12.27ft3

Volume of a Hemisphere

2 • π • 1.253

​2 • π • 1.95

12.26 /3 = 4.09 ft3

Both

4.09 ft3 + 12.27 ft3 = 16.36 ft3

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.