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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 [math]27 \ "m"^3[/math] is inscribed inside a sphere. What is the volume of the sphere?
  1. [math](9 pi)/(2) \ "m"^3[/math]
  2. [math]9 sqrt(2) pi \ "m"^3[/math]
  3. [math](27sqrt(3)pi)/2 \ "m"^3[/math]
  4. [math]108sqrt(3) pi \ "m"^3[/math]
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. [math]0.082 \ "cm"^3[/math]
  2. [math]2.13 \ "cm"^3[/math]
  3. [math]0.213 \ "cm"^3[/math]
  4. [math]0.817 \ "cm"^3[/math]
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