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3. Find the volume V of the solid whose base is an elliptical region with boundary curve 16x² + 25y? = 400. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. Click for Hint 1| Hint 2: What are the measurement of the angles of an isosceles right triangle? 4. Set up the integral representing the volume V of the solid whose base is the region enclosed by the parabola y = 2 – 3x2 and the x-axis. Cross-sections perpendicular to the y-axis are equilateral triangles. Click for Hint Hint 2: The best area of triangle formula to use here is probably Area = s? sin(0). 5. Set up the integral representing the volume V of the solid whose base is the region enclosed by the graphs y = x2 – 2x and y = x. Cross-sections perpendicular to the x-axis are semicircles. Click for Hint

3. Find the volume V of the solid whose base is an elliptical region with boundary curve 16x² + 25y? = 400. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. Click for Hint 1| Hint 2: What are the measurement of the angles of an isosceles right triangle? 4. Set up the integral representing the volume V of the solid whose base is the region enclosed by the parabola y = 2 – 3x2 and the x-axis. Cross-sections perpendicular to the y-axis are equilateral triangles. Click for Hint Hint 2: The best area of triangle formula to use here is probably Area = s? sin(0). 5. Set up the integral representing the volume V of the solid whose base is the region enclosed by the graphs y = x2 – 2x and y = x. Cross-sections perpendicular to the x-axis are semicircles. Click for Hint

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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can you please do 5 and 3 ! will give like 

1. Find the volume of a pyramid whose height is 5m and a square base with sides 7m. 2. Set up the integral representing the volume V of the solid whose base is a circular disk with radius 2r. Parallel cross-sections perpendicular to the base are squares. 3. Find the volume V of the solid whose base is an elliptical region with boundary curve 16x? + 25y? = 400. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. Click for Hint 1 Hint 2: What are the measurement of the angles of an isosceles right triangle? 4. Set up the integral representing the volume V of the solid whose base is the region enclosed by the parabola y = 2 – 3x² and the x-axis. Cross-sections perpendicular to the y-axis are equilateral triangles. Click for Hint Hint 2: The best area of triangle formula to use here is probably Area = s² sin(0). 5. Set up the integral representing the volume V of the solid whose base is the region enclosed by the graphs y = x2 – 2x and y = x. Cross-sections perpendicular to the x-axis are semicircles. Click for Hint
Transcribed Image Text:1. Find the volume of a pyramid whose height is 5m and a square base with sides 7m. 2. Set up the integral representing the volume V of the solid whose base is a circular disk with radius 2r. Parallel cross-sections perpendicular to the base are squares. 3. Find the volume V of the solid whose base is an elliptical region with boundary curve 16x? + 25y? = 400. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. Click for Hint 1 Hint 2: What are the measurement of the angles of an isosceles right triangle? 4. Set up the integral representing the volume V of the solid whose base is the region enclosed by the parabola y = 2 – 3x² and the x-axis. Cross-sections perpendicular to the y-axis are equilateral triangles. Click for Hint Hint 2: The best area of triangle formula to use here is probably Area = s² sin(0). 5. Set up the integral representing the volume V of the solid whose base is the region enclosed by the graphs y = x2 – 2x and y = x. Cross-sections perpendicular to the x-axis are semicircles. Click for Hint
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