Question

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.

Answer 1

Answer: [D]: " 196π in.³ " .
_____________________________________________________
Step-by-step 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] .
__________________________________________________________

Answer 2

`(196)/(3) \pi in^(3)`

Step-by-step explanation:

I just finished taking the test.