Use the general slicing method to find the volume of the following solid. The solid whose base is the region bounded by the curve y=38cosx and the x-axis on − π 2, π 2, and whose cross sections through the solid perpendicular to the x-axis are isosceles right triangles with a horizontal leg in the xy-plane and a vertical leg above the x-axis. A coordinate system has an unlabeled x-axis and an unlabeled y-axis. A curve on the x y-plane labeled y equals 38 StartRoot cosine x EndRoot starts on the negative x-axis, rises at a decreasing rate to the positive y-axis, and falls at an increasing rate to the positive x-axis. The region below the curve and above the x-axis is shaded. A right triangle extends from the x y-plane, where one leg is on the x y-plane from the x-axis to the curve and is perpendicular to the x-axis, and the second leg is above the x-axis and is perpendicular to the x y-plane. y=38cosx

The volume of the solid = 1444

Step-by-step explanation:

Given that:

The region of the solid is bounded by the curves and the axis on

using the slicing method

Let say the solid object extends from a to b and the cross-section of the solid perpendicular to the x-axis has an area expressed by function A.

Then, the volume of the solid is ;

However, each perpendicular slice is an isosceles leg on the xy-plane and vertical leg above the x-axis

Then, the area of the perpendicular slice at a point is:

Applying the general slicing method ;

V = 1444

∴ The volume of the solid = 1444

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.