To the nearest centimeter, the radius of glass is 3 cm
Solution:
Given that, A cylindrical glass of 6 cm height holds 130 cubic centimeter of water.
We have to find what's the radius of the glass
The volume of cylinder is given as:
[tex]\text { volume of a cylinder }=\pi r^{2} h[/tex]
Where, r is radius and h is height of the cylinder
By substituting the given values, h = 6 cm and v = 130 cubic centimeter we get,
[tex]\begin{array}{l}{\rightarrow 130=\pi r^{2} \times 6} \\\\ {\rightarrow \pi r^{2}=\frac{130}{6}} \\\\ {\rightarrow \pi r^{2}=\frac{21.667}{\pi}} \\\\ {\rightarrow r^{2}=\frac{21.667}{\pi}=6.8967} \\\\ {\rightarrow r=\sqrt{6.8967}} \\\\ {\rightarrow r=2.6261}\end{array}[/tex]
After rounding to the nearest centimeter r = 3 cm
Hence, the radius of the glass is 3 cm.
