A cylinder is inscribed in a cone with height H = 21 inches and radius R...
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A cylinder is inscribed in a cone with height H = 21 inches and radius R = 18 inches. We want to find the dimensions of the cylinder, r and h, that maximizes the volume of the cylinder. R (a) Write the Volume of the cylinder as a function of and h. T Volume= (b) Write the volume of the cylinder as a function of 7. Hint: Similar Triangles Volume= H (c) Using a TI calculator or other graphing device, determine the value of r that maximizes the volume. inches T = (d) Determine the height that maximizes the volume. h = inches (e) Determine the maximum volume. A = cubic inches A cylinder is inscribed in a cone with height H = 21 inches and radius R = 18 inches. We want to find the dimensions of the cylinder, r and h, that maximizes the volume of the cylinder. R (a) Write the Volume of the cylinder as a function of and h. T Volume= (b) Write the volume of the cylinder as a function of 7. Hint: Similar Triangles Volume= H (c) Using a TI calculator or other graphing device, determine the value of r that maximizes the volume. inches T = (d) Determine the height that maximizes the volume. h = inches (e) Determine the maximum volume. A = cubic inches
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Posted Date:
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