Respuesta :
Answer:
Area of the base of the cone= [tex]706.28\,cm^2[/tex]
Step-by-step explanation:
Height(h) of the cone= [tex]20\, cm[/tex]
Volume of the cone= [tex]4710\,cm^3[/tex]
Volume of a cone is:
[tex]\pi \times r^2 \times \dfrac{h}{3}[/tex]
As, [tex]\pi =\dfrac{22}{7}=3.14[/tex]
Putting the value in the formula to find radius:
[tex]4710=3.14\times(r^2)\times \dfrac{20}{3} \\\\4710=3.14\times r^2 \times 6.67\\\\4710=20.94\times r^2\\\\r^2=\dfrac{4710}{20.94}\\\\ r^2=224.93\\\\ r=\sqrt{224.93} \,cm[/tex]
Area of the base of the cone= [tex]\pi \times r^2[/tex]
Area [tex]=3.14\times(\sqrt{224.93} )^2\\\\=3.14\times 224.93\\\\=706.28\,cm^2[/tex]
