Question
The moon is approximately a sphere with a mean radius of $1.74 \times$ $10^{6} \mathrm{~m}$. Determine its approximate volume and its mass. [Hint:Use Table $12-1 .]$
Step 1
74 \times 10^{6} \mathrm{~m}$. We can use the formula for the volume of a sphere to find the volume of the moon. The formula for the volume of a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere. Show more…
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the moon is approximately a sphere with a mean radius of 1.74 x 10^6. determine the approximate volume and its mass
The mean radius of the Earth is $6.37 \times 10^{6} \mathrm{m}$ and that of the Moon is $1.74 \times 10^{8} \mathrm{cm} .$ From these data calculate (a) the ratio of the Earth's surface area to that of the Moon and $(\mathrm{b})$ the ratio of the Earth's volume to that of the Moon. Recall that the surface area of a sphere is 4$\pi r^{2}$ and the volume of a sphere is $\frac{4}{3} \pi r^{3}$.
The mean radius of the Earth is $6.37 \times 10^{6} \mathrm{m}$ , and that of the Moon is $1.74 \times 10^{8} \mathrm{cm} .$ From these data calculate (a) the ratio of the Earth's surface area to that of the Moon and $(\mathrm{b})$ the ratio of the Earth's volume to that of the Moon. Recall that the surface area of a sphere is 4$\pi r^{2}$ and the volume of a sphere is $\frac{4}{3} \pi r^{3} .$
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