Question

Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.

Answer 1

A cone is a 3-dimensional shape that consists of a circular or flat surface and a curved side. Thus the volume of the given cone is 4.1 $mi.^{3}$

A cone is a 3-dimensional shape that consists of a circular or flat surface and curved side. Its volume can be determined by;

The volume of a cone = $\frac{1}{3}$ $\pi$$r^{2}$h

where r is the radius of its flat surface, and h is its height.

From the given question, we have to determine the value of h using the Pythagoras theorem.

Such that;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$4^{2}$ = $h^{2}$ + $1^{2}$

16 = $h^{2}$ + 1

$h^{2}$ = 15

h = $\sqrt{15}$

Thus the volume of the cone = $\frac{1}{3}$ $\pi$$r^{2}$h

                             =  $\frac{1}{3}$x $\frac{22}{7}$ x $1^{2}$x    $\sqrt{15}$

                             = 4.0574

Therefore the volume of the given cone is 4.1 $mi.^{3}$

For more clarifications on the volume of a cone, visit: brainly.com/question/26936929

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