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angelguitarist
Answered

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.

Verified Answer :

JonHenderson55

Answer:  [D]:  " 196π  in.³  "  .
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Explanation:
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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.) = (494)π  in.³
   =  196π  in.³  ; which is: Answer choice: [D] .
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Answer:

\(\frac{196}{3} \pi in^{3}\)

Step-by-step explanation:

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