Answer:
1. Rewrite the formula for the base area:   V = 1/3 πr2h
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2. Substitute the values into the formula:   V = 1/3 π(42)(10)
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3. Evaluate the power:       V = 1/3 π(16)(10
4. Simplify to find the volume of the cone to be    160/3 πcm3
Step-by-step explanation:
By using the basic formulae of a cone, it can be concluded
(1)Area of the base= [tex]\pi r^{2}[/tex]
(2)Numerical value of area= 16Ï€
3)Expression for the volume = [tex]\frac{1}{3} *\pi *r^{2} * h[/tex]
4)Volume of the cone= [tex]167.47 cm^3[/tex]
It is given that
the radius of the cone=4 cm
height of the cone = 10
It is a solid or hollow object which tapers from a circular or roughly circular base to a point.
1) Let us say the area of the base is b
since we know that area of the base of a cone is the area of a circle.
let us say the radius of the circular base is r,
area of the circular base will be [tex]\pi r^{2}[/tex].
2) numerical value of the Area of the base = [tex]\pi * 4^{2} = 16 \pi[/tex]
3)Expression for the volume of the cone is [tex]=\frac{1}{3} *b*h= \frac{1}{3} *\pi *r^{2} *h[/tex]
4) Volume of the cone = [tex]\frac{1}{3} * \pi * 4^{2} * 10 = 167.47 cm^3[/tex]
Therefore, it can be concluded that
(1)Area of the base = [tex]\pi r^{2}[/tex]
(2) Numerical value of the area = 16Ï€
3)Expression for the volume = [tex]\frac{1}{3} *\pi *r^{2} * h[/tex]
4) Volume of the cone = [tex]167.47 cm^3[/tex]
To get more about cone refer to the link,
https://brainly.com/question/6613758
