Sebuah mainan berbentuk belahan bola dengan panjang diameter $18\,\text{cm}$ . Volume mainan tersebut adalah $\ldots\,\text{cm}^3$

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Convert, compare, add, and subtract mixed customary units

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Q. Sebuah mainan berbentuk belahan bola dengan panjang diameter

18\,\text{cm}

. Volume mainan tersebut adalah

\ldots\,\text{cm}^3

Calculate Sphere Radius: The formula for the volume of a sphere is $(\frac{4}{3})\pi r^3$ . Since we have a hemisphere, we need half of that volume.
Calculate Full Sphere Volume: First, find the radius of the sphere. The radius is half of the diameter, so $r = \frac{18 \, \text{cm}}{2}$ . $r = 9 \, \text{cm}$ .
Calculate Hemisphere Volume: Now, calculate the volume of the full sphere using the radius. $\newline$ Volume of sphere = $(\frac{4}{3})\pi(9 \, \text{cm})^3$
Calculate Hemisphere Volume: Now, calculate the volume of the full sphere using the radius. $\newline$ Volume of sphere = $(\frac{4}{3})\pi(9 \, \text{cm})^3$ Volume of sphere = $(\frac{4}{3})\pi(729 \, \text{cm}^3)$
Calculate Hemisphere Volume: Now, calculate the volume of the full sphere using the radius. $\newline$ Volume of sphere = $(\frac{4}{3})\pi(9 \, \text{cm})^3$ Volume of sphere = $(\frac{4}{3})\pi(729 \, \text{cm}^3)$ Volume of sphere = $(\frac{4}{3}) \times \pi \times 729 \, \text{cm}^3$
Calculate Hemisphere Volume: Now, calculate the volume of the full sphere using the radius. $\newline$ Volume of sphere = $(\frac{4}{3})\pi(9 \text{ cm})^3$ Volume of sphere = $(\frac{4}{3})\pi(729 \text{ cm}^3)$ Volume of sphere = $(\frac{4}{3}) \times \pi \times 729 \text{ cm}^3$ Volume of sphere = $972\pi \text{ cm}^3$
Calculate Hemisphere Volume: Now, calculate the volume of the full sphere using the radius. $\newline$ Volume of sphere = $(4/3)\pi(9 \text{ cm})^3$ Volume of sphere = $(4/3)\pi(729 \text{ cm}^3)$ Volume of sphere = $(4/3) \times \pi \times 729 \text{ cm}^3$ Volume of sphere = $972\pi \text{ cm}^3$ Since we need the volume of the hemisphere, we take half of the sphere's volume. $\newline$ Volume of hemisphere = $972\pi \text{ cm}^3 / 2$
Calculate Hemisphere Volume: Now, calculate the volume of the full sphere using the radius. $\newline$ Volume of sphere = $(4/3)\pi(9 \text{ cm})^3$ Volume of sphere = $(4/3)\pi(729 \text{ cm}^3)$ Volume of sphere = $(4/3) \times \pi \times 729 \text{ cm}^3$ Volume of sphere = $972\pi \text{ cm}^3$ Since we need the volume of the hemisphere, we take half of the sphere's volume. $\newline$ Volume of hemisphere = $972\pi \text{ cm}^3 / 2$ Volume of hemisphere = $486\pi \text{ cm}^3$