Theme: Equation of a Sphere...
  • You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere that will fit inside it? If you can will you show your work somehow?
  • A sphere with a radius of 2 inches weighs 4.40 pounds. How much does a sphere with a radius of 3 inches weigh?
  • What is the approximate volume of a sphere with a radius of 9 in ? Use 3.14 to approximate pi and express your answer in hundredths. 3052.08| in3
  • A sphere fits snugly inside a 6-in. cube as shown. what is the volume of the region inside the cube but outside the sphere
  • Grandma Edith uses her big punch bowl at family gatherings. The bowl is half of a sphere, with a diameter of 30 cm. Her ladle is also half of a sphere, with a diameter of 8 cm. How many ladles can Grandma Edith scoop from the punch bowl? use 3.14 to approximate pi and express your answer as a whole number. show your work.
  • The volume of a hemisphere is 144 pi. Find the radius and total surface area.
  • The volume of a sphere is 288π ft3. What is the radius of the sphere? Use the formula V = 4 3 πr3 to find your answer.
  • A hard candy has a radius of 9 mm. The candy has a spherical soft center with a radius of 6 mm. with a hard shell surrounding it. What is the volume of the hard shell? Use 3.14 to approximate pi and express your final answer in hundredths.
  • What is the exact volume of a sphere that has a radius of 7.5ft
  • A company is choosing between two tanks for mixing chemicals. Both tanks have the same price so the company plans to choose the one that can hold the most chemicals the first tank is conical with a diameter of 10 feet and a height of 15 feet the second tank is a hemisphere with a radius of 5.5 feet which tank should they choose? How many more gallons to the nearest gallon will that tank hold?
  • Can 39/121 be simplified and if so what is it?
  • A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?
  • A company is choosing between two tanks for mixing chemicals. Both tanks have the same price so the company plans to choose the one that can hold the most chemicals the first tank is conical with a diameter of 10 feet and a height of 15 feet the second tank is a hemisphere with a radius of 5.5 feet which tank should they choose? How many more gallons to the nearest gallon will that tank hold?
  • Two spheres have volumes of 8r cm3 and 64st cm3. If the surface area of the smaller sphere is 16 t cmwhat is thesurface area of the larger sphere? o 641 cm2o 96T cm128 cm2561T cm
  • A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres?
  • A baseball has the diameter of 3.8 inches, about how many times more volume does a basketball with radius of 4.78 inches have than a baseball
  • 37. A company is choosing between two tanks for mixing chemicals Bothhave the same price, so the company plans to choose the one thatcan holdtanksthemost chemicals. The first tank conical with a diameter of 10 feet anda heightof 15 feet. The second tank is a hemisphere with a radius of 5.5 feetOne cubic foot 7.48 gallons
  • A jar contains 7 blue cubes,4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at random, what is the probability that the object is green or a cube?
  • A company wants to installan underground storage tank that is in the shape of acylinder with both ends being in the shape of a hemisphere. The tank will have anoutside diameter of 20 feet and a total length of 50 feet (that is from the tip of one end ofthe hemisphere shape to the tip of the other hemisphere shape)lf the walls of the tankare 3 inches thick, what is the volume of the tank in cubic feet and how many gallons ofliquid can be contained in the tank (1 cubic foot 7.48 gallons)?
  • If a sphere’s volume is doubled, what is the corresponding change in its radius?
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