# Volume of Solids - Page 4

Questions

- An ellipsoid has radii with lengths of #2 #, #5 #, and #3 #. A portion the size of a hemisphere with a radius of #1 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
- An ellipsoid has radii with lengths of #3 #, #6 #, and #5 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #42 # and the height of the cylinder is #6 #. If the volume of the solid is #320 pi#, what is the area of the base of the cylinder?
- The base of a triangular pyramid is a triangle with corners at #(6 ,8 )#, #(2 ,4 )#, and #(7 ,3 )#. If the pyramid has a height of #2 #, what is the pyramid's volume?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #27 # and the height of the cylinder is #7 #. If the volume of the solid is #45 pi#, what is the area of the base of the cylinder?
- Cups A and B are cone shaped and have heights of #22 cm# and #25 cm# and openings with radii of #6 cm# and #11 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #36 # and the height of the cylinder is #8 #. If the volume of the solid is #64 pi#, what is the area of the base of the cylinder?
- Cups A and B are cone shaped and have heights of #28 cm# and #23 cm# and openings with radii of #6 cm# and #12 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
- An ellipsoid has radii with lengths of #9 #, #8 #, and #10 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #5 # and the height of the cylinder is #7 #. If the volume of the solid is #18 pi#, what is the area of the base of the cylinder?
- Here we have two swimming pools. A rectangular pool is #6#ft long and a depth 1/3 of its width. A circular pool is #2#ft deep and has a diameter twice the width of the rectangular pool. What is the ratio of their volumes?
- The edge of a cube measures #3.5 \times 10^-2# meters. What is the volume of the cube in cubic meters in scientific notation?
- If the diameter of a sphere is 10, what is the approximate volume of the sphere?
- The base of a triangular pyramid is a triangle with corners at #(8 ,5 )#, #(7 ,2 )#, and #(4 ,6 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?
- If a sphere has a volume of 3487 cubic yards whats the radius?
- The number of square meters in the total surface area of a right circular cylinder, including the top and bottom, is equal to the number of cubic meters in its volume. If the radius of the cylinder is five times its height, what is its volume?
- A conical tank with a radius of 4 ft and a height of 12 ft is filled with liquid. How much liquid has poured from the tip of the cone if the water level is 9 ft from the tip?
- The base of a triangular pyramid is a triangle with corners at #(7 ,5 )#, #(6 ,9 )#, and #(3 ,4 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #66 # and the height of the cylinder is #5 #. If the volume of the solid is #243 pi#, what is the area of the base of the cylinder?
- How do you find the volume of the sphere in terms of #pi# given #V=4/3pir^3# and d=4cm?