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help me wit these 3 questions plz.

A cone has a base radius of 7 centimeters and a height of 21 centimeters.

 

What is the volume of the cone?

        A.

28π cm3

      B.

49π cm3

      C.

147π cm3

      D.

343π cm3



Help Me Wit These 3 Questions Plz A Cone Has A Base Radius Of 7 Centimeters And A Height Of 21 Centimeters What Is The Volume Of The Cone A 28π Cm3 B 49π Cm3 C class=
Help Me Wit These 3 Questions Plz A Cone Has A Base Radius Of 7 Centimeters And A Height Of 21 Centimeters What Is The Volume Of The Cone A 28π Cm3 B 49π Cm3 C class=

Sagot :

1. Cone

[tex]r=7cm[/tex]
[tex]h=21cm[/tex]

[tex]V= \frac{\pi*r^2*h}{3}=\frac{\pi*7^2*21}{3}=7^2*7*\pi=7^3\pi=343{\pi}cm^3[/tex]

Answer: D

2. Cylinder

[tex]r=5ft[/tex]
[tex]h=16ft[/tex]

[tex]V= \pi*r^2*h=\pi*5^2*16=25*16\pi=400\pi ft^3[/tex]

Answer: A

3.Pyramid

In this case it will be

[tex]V= \frac{a*b*h}{3}[/tex]

[tex]a=9ft[/tex]
[tex]b=4ft[/tex]
[tex]h=12ft[/tex]

[tex]V= \frac{4*9*12}{3}=4*3*12=144 ft^3[/tex]

Answer: B