What is the exact volume of the cone?

28π in³

563π in³

1963π in³

196π in³
outline of cone with dotted line rising from middle of base to the point. line is labeled four inches. a second dotted line extends horizontally from middle of base to its edge. line is labeled seven inches.

 [D]:  " 196π  in.³  "  .

Explanation:

Given: radius, "r", equal 7 in.
Given: height, "h", equals 4 in.

Volume:  V = Base area * h ; 

The base area of a cone is a circle:  A = π * r²  = π* (7²) = 49π .

(NOTE: Since all answer choices given are in terms of "π" ; we will leave the units in terms of "π").

V = (Based area) * h = (49π  in.) * (4 in.) = (49*4)π  in.³
   =  196π  in.³  ; which is: Answer choice: [D] .

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