The figure shows a planetarium's viewing room, which is in the shape of a hemisphere.

Use 3.14 for pi.

The diameter of the room is 50 feet. What is its approximate volume to the nearest tenth of a cubic foot?

A) 32,708.3 ft 3
B) 10,416.7 ft3
C) 65,416.7 ft3
D) 16,354.2 ft3

A)32,708.3

formula is 2/3πr^3 so 2.09 times 15,625 = 32,656.25 which is the closest answer to A. 2.09 is 2/3 x pi which is 2/3π

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.