SSAT Upper Level Math: Circles and Cylinders Practice Test 26

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1. In the figure, the vertices of right triangle MLN are on the circle and L is the center of the circle. If the area of the region created by lines ML, LN, and arc MN is 9π, what is the area of the shaded region?

  • A. 9π – 6
  • B. 9π – 9
  • C. 9
  • D. 18
  • E. 36

2. Isosceles triangle XYZ is inscribed in Circle O below as shown.

If the radius of the circle is 10, what is the area of the shaded region?

  • A. 25π – 50
  • B. 50π – 100
  • C. 50π – 200
  • D. 100π – 100
  • E. 100π – 200

3. A circle is inscribed in a square with a side length of 12. Find the area of the shaded region.

  • A. 144
  • B. 36π
  • C. 12π
  • D. 144 – 36π
  • E. 36π – 144

4. Cinquemani Family Pasta Sauce comes in cylindrical jars that serve 4. The jars have a base diameter of 8 cm and a height of 4 cm. They want to start selling the sauce in single-serve jars that are the same height. What will the base diameter be?

  • A. 2 cm
  • B. 4 cm
  • C. 8 cm
  • D. 16 cm
  • E. 32 cm

5. If the volume of a right circular cone is given by V = πr2h, where r is the radius of the cone and h is the height of the cone, what is h in terms of r and V?

  • A.
  • B.
  • C.
  • D.
  • E.