1. V = п r 2 h # 1. The volume of a cylinder is 765 in 3. The formula for volume of a cylinder is V = п r 2 h. Find the radius if the height is 4 inches. (Round to the nearest hundreth.) ALGEBRA 1: SURFACE AREA AND VOLUME r = 7.80

2. ALGEBRA 1: SURFACE AREA AND VOLUME # 2. A cube has a surface area of 337.5 cm 2. The formula for the surface area of a cube is SA = 6 s 2. Find the side length of the cube. (Round to the nearest tenth.) SA = 6 s 2 s = 7.5

3. ALGEBRA 1: SURFACE AREA AND VOLUME # 3. The volume of a sphere is 1259.83 in 3. Find the radius of the sphere if the formula for fhe volume of a sphere is V = 4 / 3 п r 3. V = 4 / 3 п r 3 r = 6.7

4. ALGEBRA 1: SURFACE AREA AND VOLUME # 4. The surface area of a sphere is 84.8 ft 3. Find the radius if the formula is SA = 4 п r 2. SA = 4 п r 2 r = 2.6

5. ALGEBRA 1: SURFACE AREA AND VOLUME # 5. The circumference of an official NBA basketball is 29.5 inches. Find the surface area using the formula: SA = 4 п r 2. (Round to the nearest hundredth.) SA = 4 п (4.7) 2 SA = 4 п (22.07) SA = 277.34

6. ALGEBRA 1: SURFACE AREA AND VOLUME # 6. The volume of a sphere is 345 mm 3. Find the diameter. V = 4 / 3 п r 3. r = 4.35 d = 4.35(2) = 8.7

7. ALGEBRA 1: SURFACE AREA AND VOLUME #7. Find the diameter of a can of soup if the volume is 912 fluid ounces and the height of the can is 6.5 cm. Use the formula: V = п r 2 h. r = 6.69 d = 2(6.69) = 13.37

8. ALGEBRA 1: SURFACE AREA AND VOLUME #8. Find the height of a cylinder if the volume is 2345 mm 3 and the radius is 14 mm. V = п r 2 h h = 3.81

9. ALGEBRA 1: SURFACE AREA AND VOLUME #9. What is the width of an ice cream cone that has a volume of 170.5 cm3 and a height of 8cm? (V = 1 / 3 п r 2 h) Round to the nearest hundredth.) The width of the cone is the length of the diameter of the base. We need the radius. r = 4.51 d = 2 r = 2(4.51) = 9.03

10. ALGEBRA 1: SURFACE AREA AND VOLUME #10. What is the height of an ice cream cone with a volume of 213.4 cm 3 and a radius of 4.75 cm? (V = 1 / 3 п r 2 h). Round to the nearest hundredth.) h = 9.04