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FORMULAS- Unit: Volume Name Key, Cuyhider v= wen Review 0 Pd CONe - @ Solve each of the prablems below. Be sure to ask questions if WEN Date Ne Sphere sine STUDY GUIDE you need more help with a topic. TCAN USE A FORMULA TO FIND THE VOLUME OF CYLINDERS. volume of a cylinder in your own words. V= = 1r~ Fivst find the area of re Base cttr He Warahs, 1. What is the formula used to find the volume of a eyiner? Describe the steps to find the 2) Hein multiply by 2. Find the voluNe of the cylinder. Leave your answer in terms of 1. 3. Find the volume of the cylinder to the necrest tenth. d= 15in 24 mm Ve Threh Vet (7. gal D 4. A cylindrical can has a radius of 5.5 cm and a height of 8 om. What is the capacity of the can to the at ie Tl rh Ufort Ven 206) \V= T CAN USE A FORMULA TO FIND THE VOLUME OF CONES. 5. Laura is trying to find the volume of a cone. So far, she has found the area of the base of the cone and multiplied it by the height of the cone. Describe what she needs to do aes =4m1*n j She She. ie Iu ee he eal 6. A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Expiain. EOD= AynF Toke the l NG Of tthe einer torte, tee € SQrne 7. Find the volume of “the cone in terms of tT. Find the volume of the cone fs the nearest tenth. 9. A cone has a diamete> of 18 units and a slant eight of 15 ‘fc units. Find the volume of the cat cone to the neares must sage i] tk a “Be c+) T CAN USE A FORMULA TO FIND THE VOLUME OF SPHERES. 10. Find the volume of the sphere. Rpund tothe | 11. Find the volume of a hemisphere with a nearest tenth. V= =4a11? a, of Hn Ta pearest tenth. V= 4/21r'Ul?) 5512.5 uy QS 2 12. A sphere-shaped snow globe has a radius of 3.5 inches. => much water can the snow globe hold? Round to the nearest tenth. V= 4/31 (3: S V=114V.S Td “3 The questions below give a description of a sphere. Match each description with the volume of the sphere in terms of 11. Not all choices will be used. A. 972T Bb. 13. A sphere with a radius of 18 units 4/3 ais?) 0) B. 7,776n _\e _14. A sphere with a diameter of 24 units 4/37 (2 C. 1,230n “Bis A sphere with a diameter of 18 units 4/a1 (43) D. 4.500n 3 , 1 y) 16. A sphere with a radius of 15 units 4/2 (Is 3) E. 2,3041 ; I CAN USE FORMULAS FOR VOLUME TO SOLVE MATHEMATICAL PROBLEMS. 17] A cone-shaped funnel can hold 314 cubic 18. A cylindrical vase is filled with soil. If the inches of water. If the height of the funnel is height of the vase is 6 centimeters and the 12 inches, a is the radius of the funnel? Use | vase holds 471 cubic centimeters, what is the 3.14 for pi. diameter of the vase? Use 3.14 for pi. Aly = 466 wWar* q7/= Tr (6) 2 Taster? 47i-6)r (6) Bl = | ASG BY pe Se jas are 17s 6 ICE 5 acl. 2 = IAA 19] The volume of a 23 is 36,000rt units®. What is the radius of the sonore? —_ ° 3 ae DecoOn” = Zot os = ray Ck t+p aet+ Che Hh mot 3, ae “r=2duh A Ruy, te enter, ©Moneuvering the Middle LLC, 2016 Unit: Volume Review Name Date Pd VOLUME STUDY GUIDE Sol 4 Ve each of the Préblems below. Be sure to ask questions if you need more help with a topic. TCAN USE A FORMULA TO FIND THE VOLUME OF G/LINDERS 1. What is the Formula used to find the volume of a cylinder? Describe the steps to find the volume of a cylinder in your own words. 2. Find the volume of the ylinder. Leave your answer in terms of 1. 24 mr seem) 3. Find the volume of the cylinder to the nearest tenth. d= 15in Iin 4. A cylindrical can has a radius of 5.5 cm and a height of 8 cm. What is the capacity of the can fo the nearest hundredth? TCAN USE A FORMULA TO FIND THE VOLUME OF CONES. $. Laura is trying to find the volume of a cone. So far, she has found the area of the base of the cone and multiplied it by the height of the cone. Describe what she needs to do next. 6. A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Explain. 7. Find the volume of the cone in terms of TL. 8. Find the volume of the cone to the nearest tenth. units and a slant height of 15 units. Find the volume of the cone to the nearest hundredth. jht i | 4 1 i L st i 9. A cone has a diameter of 18 t is ' | — ©Moneuvering the Middle LLG, 2016 ad aa I CAN USE A FORMULA TO FIND THE VOLUME OF SPHERES. 10. Find the volume of the sphere. Round to the nearest tenth. 11. Find the volume of a hemisphere with a radius of 7 inches. Round to the nearest tenth. 12. A sphere-shaped snow globe has a radius of 3.5 inches. How much water can the snow globe hold? Round to the nearest tenth. The questions below give a description of a sphere. Match each description with the volume of the sphere in terms of 11. Not all choices will be used. 13. A sphere with a radius of 18 units 14. A sphere with a diameter of 24 units 15. A sphere with a diameter of 18 units 16. A sphere with a radius of 15 units A. 972tt 7,776 . 1,230 4,500 2,304 moo fp I CAN USE FORMULAS FOR VOLUME TO SOLVE MATHEMATICAL PROPLEMS. 17] } A cone-shaped funnel can hold 314 cubic inches of water. If the height of the funnel is 12 inches, what is fhe radius of the funnel? Use 3.14 for pi. 18. A cylindrical vase is filled with soil. If the height of the vase is 6 centimeters and the vase holds 471 cubic centimeters, what is the diameter of the vase? Use 3.14 for pi. —_—— 19} The volume of a sphere is 36,000m units®. What is the radius of the sphere? —— OManeuwering the Middle LUG, S016 
