ISEE Upper Level Word Problems: Circles and Cylinders Practice Test 19

1. Point (4, –3) is on a circle with center (–1, 9). What is the diameter of the circle?

• A. 24
• B. 25
• C. 26
• D. 27

2. A circle is inscribed in a square with side length 12 inches, as shown.

What is the area of the shaded region?

• A. 144 – 144π in²
• B. 144 – 36π in²
• C. 48 – 36π in²
• D. 48 – 24π in²

3. The diameter of the cylinder shown is 3 times its height. The formula used to find the volume of a cylinder is V = r²hπ, where r is the radius of the cylinder and h is the height of the cylinder.

If the height of the cylinder is 2 cm, what is its volume, in cm³?

• A. 12π
• B. 18π
• C. 24π
• D. 72π

4. The formula for the volume of a sphere is V = πr³, where r is the radius of the sphere. A sphere has a volume of 36π. What is the radius of this sphere?

• A.
• B. 3
• C. 4
• D. 6

5. Use the figure below to answer the question.

If arc PQR is a semicircle, what is the perimeter of PQRS?

• A. 17 + π
• B. 17 + π
• C. 30 + π
• D. 30 + π