Hey mate ,
In this particular question we have to find<u> the volume of given objects and compare to find which has the greatest volume. </u>
<u>Lets </u><u>Solve</u><u> </u><u>,</u><u> </u>
Volume of cone :- 1/3πr²h
<u>putting</u><u> the</u><u> known</u><u> values</u><u> </u><u>,</u><u> </u>
Volume = 1/3×3.14×5²×7 cubic ft.
<u>Volume</u><u> </u><u>:</u><u>-</u><u> </u><u>1</u><u>8</u><u>3</u><u>.</u><u>1</u><u> </u><u>cubic </u><u>ft.</u>
Volume of Sphere = 4/3πr³
<u>putting</u><u> the</u><u> known</u><u> values</u><u> </u><u>,</u><u> </u>
Volume = 4/3×3.14×5³ cubic ft.
<u>Volume</u><u> </u><u>=</u><u> </u><u>5</u><u>2</u><u>3</u><u>.</u><u>3</u><u>3</u><u> </u><u>cubic </u><u>ft.</u>
Volume of Cylinder = πr²h
<u>putting</u><u> the</u><u> known</u><u> values</u><u> </u><u>,</u><u> </u>
Volume = 3.14×5²×7 cubic ft.
<u>Volume</u><u> </u><u>=</u><u> </u><u>5</u><u>4</u><u>9</u><u>.</u><u>5</u><u> </u><u>cubic</u><u> </u><u>ft.</u>
Volume of hemisphere = 2/3πr³
<u>Putting</u><u> the</u><u> known</u><u> values</u><u> </u><u>,</u><u> </u>
Volume = 2/3×3.14×5³ cubic ft
<u>Volume</u><u> </u><u>=</u><u> </u><u>2</u><u>6</u><u>1</u><u>.</u><u>6</u><u>6</u><u> </u><u>cubic</u><u> ft</u><u>.</u><u> </u>
Comparing the volume of each object , we can find that the <u>Cylinder</u> has the greatest volume
