from P to base OB divides the base in half and the x-coordinate for point P is . Plug
into the equation y = 6 − x^2 to find the height:So if the base is and the height is 3:48 . B
Use the relationship cos 2x = 1 − 2sin^2 x to get everything in terms of sine. And be sure your
calculator is in radian mode.Of those solutions, only 0.52 is listed in the answer choices.49 . C
The entire surface area you’re looking for consists of the lateral areas of the outside cylinder
and the inside cylinder, plus the areas of the larger top and bottom circles, minus the areas
of the smaller top and bottom circles. The lateral area of the outside cylinder is 2 πrh = 2π(2)
(6) = 24π. The lateral area of the inside cylinder is 2 πrh = 2π(1)(6) = 12π. The areas of the larger
top and bottom circles are each πr^2 = π(2^2 ) = 4π. And the areas of the smaller top and bottom
circles are each πr^2 = π(1^2 ) = π. The total surface area, then, is
24 π + 12π + 2(4π) − 2(π) = 42π