An hourglass is made up of two glass cones connected at their tips. Both cones have radius 1 inch and height 3 inches. When the hourglass is flipped over, sand starts falling to the lower cone.
(a) When the sand remaining in the upper cone
has height y inches, its volume A in terms of
y is .
(b) When the sand in the lower cone has reached a
height of h inches, its volume B in terms of
h is . (Hint: B is the volume of the
bottom cone minus the volume of the empty space above the
sand.)
(c) Assume the total volume of sand in the hourglass is 3?/4 cubic inches. Also, assume the height of the sand in the upper cone is decreasing at a rate of 1/100 inches per second. At the instant when the sand in the lower cone is 1 inch high, the height of the sand in the lower cone is increasing at a rate of ___ inches per second.
An hourglass is made up of two glass cones connected at their tips. Both cones have...
An hourglass is made up of two glass cones connected at their tips. Both cones have radius 1 inch and height 3 inches. When the hourglass is flipped over, sand starts falling to the lower cone. (a) When the sand remaining in the upper cone has height y inches, its volume A in terms of y is . (b) When the sand in the lower cone has reached a height of h inches, its volume B in terms of h is ....
Please solve on a piece of paper then upload it ( show all steps) Thank you An hourglass is made up of two glass cones connected at their tips. Both cones have radius 1 inch and height 3 inches. When the hourglass is flipped over, sand starts falling to the lower cone. When the sand remaining in the upper cone has height y inches, its volume A in terms of y is When the sand in the lower cone has...
i need help solving these questions,please don’t know how to solve it by using matlab.! Solve the following questions Ol: You are required to develop a script to calculate the volume of a pyramid, which is 1/3 *base *height, where the base is length *width. Prompt the user to enter values for the length, width, and height, and then calculate the volume of the pyramid. When the user enters each value, he or she will then also be prompted to...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
t the Wackes in ersed from e with mantude of 15 The Black I haa t he block 2 has mass and Neck has a mass Calculate c t of inte friction between black and a (A) 0.34 B) 0.45 (C) 0.87 (D) 0:54 0.99 14 The work of a given force has its maximum positive value when CA) The vector of displacement and force are at the same direction B) The vector of displacement and force are at the...