Question

Help ASAP!!! Problem is on the picture provided.

Answer 1

Volume of a cone = $\pi r^2\frac{h}{3}$

Volume of a sphere = $\frac{4}{3} \pi r^3$

Volume of a cylinder = $\pi r^2h$

With the help of these formulas, we can calculate the volumes.

A cone with a radius of 12 units and a height of 6 units = $\pi 12^2\frac{6}{3}$ = 288$\pi$

A sphere with a diameter of 12 units = $\frac{4}{3} \pi 6^3$ = 288$\pi$

A sphere with a radius of 9 units = $\frac{4}{3} \pi 9^3$ = 972$\pi$

A cylinder with a diameter of 12 units and a height of 27 units = $\pi 6^227$ = 972$\pi$

A cylinder with a diameter of 8 units and a height of 18 units = $\pi 4^218$ = 288$\pi$

A cone with a diameter of 18 units and a height of 36 units = $\pi 9^2\frac{36}{3}$ = 972$\pi$

Answer 2

QUESTION 1

The volume of a cone is given by;

$V=\frac{\pi r^2h}{3}$

From the given information,

$r=12,h=6$

$V=\frac{12^2\times 6}{3}\pi$

$V=\frac{144 \times 6}{3}\pi$

$V=288\pi$

QUESTION 2

The volume of a sphere is given by

$V=\frac{4\pi r^3}{3}$

From the given information.\

$r=\frac{Diameter}{2}= \frac{12}{2}=6$

Therefore the volume of the sphere is

$V=\frac{4\times6^3}{3} \pi$

$V=\frac{4\times216}{3} \pi$

$V=288\pi$

QUESTION 3

The volume of a sphere is given by

$V=\frac{4\pi r^3}{3}$

From the given information.\

$r=9$

Therefore the volume of the sphere is

$V=\frac{4\times 9^3}{3} \pi$

$V=\frac{4\times 729}{3} \pi$

$V=972\pi$

QUESTION 4

The volume of a cylinder is given by

$V=\pi r^2 h$

From the given information,

$r=\frac{Diameter}{2}= \frac{12}{2}=6$

and

$h=27$

Therefore volume of the cylinder

$V=6^2 \times 27 \pi$

$V=36 \times 27 \pi$

$V=972\pi$

QUESTION 5

The volume of a cylinder is given by

$V=\pi r^2 h$

From the given information,

$r=\frac{Diameter}{2}= \frac{8}{2}=4$

and

$h=18$

Therefore volume of the cylinder

$V=4^2 \times 18 \pi$

$V=16 \times 18 \pi$

$V=288\pi$

QUESTION 6

The volume of a cone is given by;

$V=\frac{\pi r^2h}{3}$

From the given information,

$r=\frac{18}{2}=9,h=36$

$V=\frac{9^2\times 36}{3}\pi$

$V=\frac{81 \times 36}{3}\pi$

$V=972\pi$