Answer:
The radius of the can is 7.28 cm .
Step-by-step explanation:
By our general knowledge, a "can" is a cylinder. It is given that the volume of can is 2500 cm³ and the height is 15 cm tall so we have to use the formula of volume of cylinder to find the radius :
[tex]v = \pi {r}^{2} h[/tex]
Let r be radius, v be volume and h be height,
Let v = 2500 cm³,
Let h = 15 cm,
[tex]2500 = \pi \times {r}^{2} \times 15[/tex]
[tex]\pi \times {r}^{2} = 2500 \div 15[/tex]
[tex]\pi \times {r}^{2} = \frac{500}{3} [/tex]
[tex] {r}^{2} = \frac{500}{3\pi} [/tex]
[tex]r = \sqrt{ \frac{500}{3\pi} } [/tex]
[tex]r = 7.28 \: cm \: (3s.f)[/tex]
