Uppose a jumbo ice cream cone is filled with vanilla and strawberry ice cream at a ratio of 2: 1. if the diameter of the cone is 3 inches and the height is 8 inches, what is the volume of strawberry ice cream in the cone? (to nearest tenth in3) a) 6.3 in3 b) 9.4 in3 c) 12.6 in3 d) 18.8 in3

  A)  6.3 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²h . . . . . where r is the radius and h is the height

Only 1/(2+1) = 1/3 of the volume of your cone is strawberry ice cream, so the volume of ice cream (in terms of cone diameter) is ...

  V = (1/3)(1/3)π(d/2)²h

  V = π(d/3)²(h/4) . . . . rearranged slightly

For our diameter of 3 inches and height of 8 inches, this is ...

  V = π(3 in/3)²(8 in/4) = 2π in³ ≈ 6.3 in³

The volume of strawberry ice cream is about 6.3 in³.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).