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Topic 7 Review

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David Varon

1) The document contains a series of questions and answers about calculating volumes of composite figures made of basic shapes like spheres, cylinders, cones, pyramids, etc. 2) It tests understanding of volume formulas for different shapes and how to calculate volumes of combinations of shapes. 3) Many questions require identifying the appropriate volume formula(s) to use for a given composite figure and determining how to calculate or combine volumes of its component shapes.

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Composite Figures NERF BALL Game! Play!
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BACK 50 POINTS ANSWERANSWER V= Bh -> V= lwh Its parallel cross section is a square! What is the formula for the volume of a Cube? What is its parallel cross section?
BACK 50 POINTS ANSWERANSWERCylinder -> V=¦Ðr2 h Cone -> V= 1/3¦Ðr2 h What are the formulas for the volume of a Cylinder and a Cone?
BACK 50 POINTS ANSWERANSWER Pyramid -> V= 1/3Bh What is the formula for the volume of a pyramid?
BACK 50 POINTS ANSWERANSWER An apex! What do you call the top point of a cone or a pyramid?
BACK 50 POINTS ANSWERANSWER It will be a triangle! A cone gets cut by a plane perpendicularly to its base. What shape will be its perpendicular cross section?
BACK 50 POINTS ANSWERANSWER 3 times! How many times does a cone fit inside a Cylinder of the same radius and height?
BACK 50 POINTS ANSWERANSWERParallel-> Circle Perpendicular -> Rectangle What are the parallel and perpendicular cross sections of a cylinder? Draw them.
BACK 50 POINTS ANSWERANSWERParallel -> circle Perpendicular -> Triangle What are the parallel and perpendicular cross sections of a cone?
BACK 100 POINTS ANSWERANSWER A Sphere. What solid will you get if you rotate a circle around an axis?
BACK 100 POINTS ANSWERANSWER A Torus (Donut)! What solid will you get if you rotate this circle around an axis?
BACK 100 POINTS ANSWERANSWER A cylinder with a cylindrical hole in the middle. What solid will you get if you rotate this rectangle around the axis?
BACK 100 POINTS ANSWERANSWER None of them. The four solids below have the same radius and height. Which ones have the same volume?
BACK 100 POINTS ANSWERANSWER 55, 296 cm3
BACK 100 POINTS ANSWERANSWER The formula of a Rectangular Prism -> V=lwh + The formula of a Pyramid with a square base -> V= 1/3(lw)h V= lwh + 1/3 (lw)h Which formulas can be used to find the volume of this composite figure?
BACK 250 POINTS ANSWERANSWER Two lines! What cross section will you get when you intersect two cones like this?
BACK 250 POINTS ANSWERANSWER An ellipse (oval)! What cross section will you get when you intersect a cylinder with a plane that¡¯s NOT parallel without touching its bases?
BACK 250 POINTS ANSWERANSWER Find the volume of the hemisphere and add it to the volume of the cylinder. How can you find the volume of the composite solid:
BACK 250 POINTS ANSWERANSWER V=¦Ðr2 h What formulas would you use to find the volume of this ice cream sandwich?
BACK 500 POINTS ANSWERANSWER 17.37 in3 John makes giant oreos at home. Each oreo is 0.5 inches thick and has a 4 inch diameter. They are filled with vanilla cream that is 0.5 inch high and reaches to 0.25 inches away from the edge of the cookie. What is the volume of each oreo?
BACK 500 POINTS ANSWERANSWER Find the volume of the cube and subtract the volume of the cylinder inside. How can you find the volume of this composite figure?
BACK 1000 POINTS ANSWERANSWERThe height must be doubled ANSWERANSWER Sharon wants to double the volume of a can of soda. What does she need to double? The height, the diameter, both? 6 in 6 in
BACK 1000 POINTS ANSWERANSWER 48¦Ð The volume of a sphere is 6¦Ð cubic inches. If the radius of the sphere is doubled, what is the volume, in cubic inches, of the new sphere?
BACK 1000 POINTS ANSWERANSWER r = 3.00 cm The volume of the given cylinder is 300 cubic units. What is its radius, to nearest whole unit?
BACK 1000 POINTS ANSWERANSWER Find the volume of the half cylinder and subtract it from the rectangular prism. How can you find the volume Of this composite figure?
BACK 1000 POINTS ANSWERANSWER B Which solid can be used to derive the volume of this pyramid? 8 in 8 in 10 in 6 in 10 in 8 in A B
BACK 1000 POINTS ANSWERANSWER radius= 2.39 in Diameter= 2.39 x 2 = 4.78 in A woman put 36 cubic inches of sand inside an cone shaped bucket and flattened the top. The cone is 6 inches tall. What is the approximate diameter of the cone, in inches?
BACK 1000 POINTS ANSWERANSWERVolume of a sphere and volume of a cylinder. What formulas must be used to find the volume of this composite figure?

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