Respuesta :
The volume of the resulting solid is [tex]150.85 cm^3[/tex]
Given radius of ball = [tex]r_1[/tex] = 10cm
hole radius = [tex]r_2[/tex] = 8cm
volume of remaining solid = volume of ball - volume of hole
volume of remaining solid = [tex]\frac{4 \pi }{3} r_1^{2} - \frac{4 \pi }{3} r_2^{2}[/tex]
volume of remaining solid = [tex]\frac{4 \pi }{3} 10^{2} - \frac{4 \pi }{3} 8^{2}[/tex] = [tex]\frac{4 \pi }{3} (100 - 64)[/tex]
volume of remaining solid = 150.85 [tex]cm^3[/tex]
What is volume?
- Volume is a measurement of three-dimensional space that is occupied. Numerous imperial units or SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch).
- The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.
- Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes.
- If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes.
- Nothing in the dimensions of zero, one, and two has volume; in the fourth and higher dimensions
To learn more about volume with the given link
https://brainly.com/question/13338592
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