Solve. Find the exact volume and surface area of a sphere of radius 12 inches. V=576 pi cu in.; SA=2304 pi sq in. V=2304 pi cu in.; SA=576 pi sq in. V=1728 pi cu in ;SA=144 pi sq in. V=6912 pi cuin.: SA^(˙)=36 pi sq in.

Calculate Volume: To find the volume (V) of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the radius r is given as 12 inches. Let's calculate the volume: V = (4/3)π(12 inches)^3 V = (4/3)π(1728 cubic inches) V = 2304π cubic inchesCalculate Surface Area: Now, to find the surface area (SA) of a sphere, we use the formula SA = 4πr^2. Again, the radius r is 12 inches. Let's calculate the surface area: SA = 4π(12 inches)^2 SA = 4π(144 square inches) SA = 576π square inchesCheck Options: We have calculated both the volume and the surface area of the sphere. Let's check the options to see which one matches our calculations: V=576 pi cu in.; SA=2304 pi sq in. - This option is incorrect. V=2304 pi cu in.; SA=576 pi sq in. - This option matches our calculations. V=1728 pi cu in.; SA=144 pi sq in. - This option is incorrect. V=6912 pi cu in.; SA=36 pi sq in. - This option is incorrect.

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Solve.
Find the exact volume and surface area of a sphere of radius 12 inches.

V=576 pi cu in.; SA=2304 pi sq in.

V=2304 pi cu in.; SA=576 pi sq in.

V=1728 pi cu in ;SA=144 pi sq in.

V=6912 pi cuin.: SA^(˙)=36 pi sq in.

Solve. $\newline$ Find the exact volume and surface area of a sphere of radius $12$ inches. $\newline$ $V=576\pi\text{ cu in.};$ $SA=2304\pi\text{ sq in.}$ $\newline$ $V=2304\pi\text{ cu in.};$ $SA=576\pi\text{ sq in.}$ $\newline$ $V=1728\pi\text{ cu in}$ $;SA=144\pi\text{ sq in.}$ $\newline$ $V=6912\pi\text{ cuin.}:$ $SA^{\cdot}=36\pi\text{ sq in.}$ $\newline$

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Math Problems

Grade 6

Area of quadrilaterals and triangles: word problems

Full solution

Q. Solve.

\newline

Find the exact volume and surface area of a sphere of radius

12

inches.

\newline

V=576\pi\text{ cu in.};

SA=2304\pi\text{ sq in.}

\newline

V=2304\pi\text{ cu in.};

SA=576\pi\text{ sq in.}

\newline

V=1728\pi\text{ cu in}

;SA=144\pi\text{ sq in.}

\newline

V=6912\pi\text{ cuin.}:

SA^{\cdot}=36\pi\text{ sq in.}

\newline

Calculate Volume: To find the volume $V$ of a sphere, we use the formula $V = \frac{4}{3}\pi r^3$ , where $r$ is the radius of the sphere. In this case, the radius $r$ is given as $12$ inches. $\newline$ Let's calculate the volume: $\newline$ $V = \frac{4}{3}\pi(12 \text{ inches})^3$ $\newline$ $V = \frac{4}{3}\pi(1728 \text{ cubic inches})$ $\newline$ $V = 2304\pi \text{ cubic inches}$
Calculate Surface Area: Now, to find the surface area (SA) of a sphere, we use the formula $SA = 4\pi r^2$ . Again, the radius $r$ is $12$ inches. $\newline$ Let's calculate the surface area: $\newline$ $SA = 4\pi(12 \text{ inches})^2$ $\newline$ $SA = 4\pi(144 \text{ square inches})$ $\newline$ $SA = 576\pi \text{ square inches}$
Check Options: We have calculated both the volume and the surface area of the sphere. Let's check the options to see which one matches our calculations: $\newline$ $V=576 \pi \text{ cu in.}; SA=2304 \pi \text{ sq in.}$ - This option is incorrect. $\newline$ $V=2304 \pi \text{ cu in.}; SA=576 \pi \text{ sq in.}$ - This option matches our calculations. $\newline$ $V=1728 \pi \text{ cu in.}; SA=144 \pi \text{ sq in.}$ - This option is incorrect. $\newline$ $V=6912 \pi \text{ cu in.}; SA=36 \pi \text{ sq in.}$ - This option is incorrect.