Answer: The correct option is
(B) 5.35 cm.
Step-by-step explanation: Given that the formula for the volume of a cone with radius r units and height h units is
[tex]V=\dfrac{1}{3}\pi r^2h.[/tex]
Also, given that the volume of a cone is 300 cm³ and the height of the cone is 10 cm.
We are to find the approximate radius of the cone.
From the given formula, we can write
[tex]V=\dfrac{1}{3}\pi r^2h\\\\\\\Rightarrow 300=\dfrac{1}{3}\times\dfrac{22}{7}\times r^2\times10\\\\\\\Rightarrow r^2=\dfrac{300\times3\times7}{220}\\\\\\\Rightarrow r^2=\dfrac{6300}{220}\\\\\\\Rightarrow r^2=28.63\\\\\Rightarrow r=\pm5.35~(approx.)\\\\\Rightarrow r=\pm5[/tex]
Since the radius of the cone cannot be negative, so r = 5 am.
Thus, the required approximate radius of the cone is 5 cm.
Option (B) is CORRECT.
Answer:
Option B) 5 cm
Step-by-step explanation:
We are given the following information in question:
Volume of cone =
[tex]\displaystyle\frac{1}{3}\pi r^2h[/tex]
The volume of a cone is 300 cm cube and the height of the cone is 10 cm.
Putting the values in above equation:
[tex]\displaystyle\frac{1}{3}\pi r^2h = 300\\\\r^2 = \frac{330\times 3}{\pi \times 10} = \frac{330\times 3}{3.14 \times 10} = 31.5286\\\\r = 5.615 \approx 5[/tex]
Hence, the approximate radius of the cone is 5 cm.
