MATH SOLVE

4 months ago

Q:
# I need help please with these two questions.1. What is the volume of this sphere? (First Picture)8π cm³16π cm³27π cm³36π cm³2. What is the volume of this sphere? (Second Picture)Use 3.14 for pi and round to the nearest hundredth when necessary.615.44 cm³2461.76 cm³11,488.21 cm³91,905.71 cm³

Accepted Solution

A:

Answer:(1) Volume of a sphere is [tex]36 \pi\ cm^{3}[/tex] .(2)volume of the sphere is 11488.21 cm³ .Step-by-step explanation:Formula [tex]Volume\ of\ a\ sphere = \frac{4}{3} \pi r^{3}[/tex]Where r is the radius of the sphere .Part First As given the radius of the circle is 3cm .Putting values in the formula [tex]Volume\ of\ a\ sphere = \frac{4\times 3\times 3\times 3}{3} \pi[/tex][tex]Volume\ of\ a\ sphere = \frac{108}{3} \pi[/tex][tex]Volume\ of\ a\ sphere = 36 \pi\ cm^{3}[/tex]Therefore the volume of a sphere is [tex]36 \pi\ cm^{3}[/tex] .Second Part As given Diameter of the sphere is 28 cm .[tex]Radius (r) = \frac{Diameter}{2}[/tex][tex]Radius (r) = \frac{28}{2}[/tex][tex]Radius (r) = 14\ cm[/tex][tex]\pi = 3.14[/tex]Putting all the values in the formula [tex]Volume\ of\ a\ sphere = \frac{4}{3}\times 3.14\times 14\times 14\times 14[/tex][tex]Volume\ of\ a\ sphere = \frac{4\times 3.14\times 14\times 14\times 14}{3}[/tex][tex]Volume\ of\ a\ sphere = \frac{34464.64}{3}[/tex][tex]Volume\ of\ a\ sphere =11488.21\ cm^{3}[/tex]Therefore the volume of the sphere is 11488.21 cm³ .