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# Common Core Standard HSG-GMD.A.3 Questions

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

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Grade 11 Volume CCSS: HSG-SRT.C.8, HSG-GMD.A.3
A cube with a volume of $27 \ "m"^3$ is inscribed inside a sphere. What is the volume of the sphere?
1. $(9 pi)/(2) \ "m"^3$
2. $9 sqrt(2) pi \ "m"^3$
3. $(27sqrt(3)pi)/2 \ "m"^3$
4. $108sqrt(3) pi \ "m"^3$
Grade 9 Volume CCSS: HSG-GMD.A.3
Grade 11 Three Dimensional Shapes CCSS: HSG-GMD.A.3
Grade 10 Three Dimensional Shapes CCSS: HSG-GMD.A.3
Grade 10 Volume CCSS: HSG-GMD.A.3
Find the volume of a square pyramid with a base of 10 inches wide and a height of 18 inches.
1. 180 cubic inches
2. 360 cubic inches
3. 1800 cubic inches
4. 600 cubic inches
Grade 11 Volume CCSS: HSG-GMD.A.3
A cylindrical pill with semispherical ends has a diameter of .5 cm and a total length 1.25 cm. What is the volume of the pill?
1. $0.082 \ "cm"^3$
2. $2.13 \ "cm"^3$
3. $0.213 \ "cm"^3$
4. $0.817 \ "cm"^3$
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