X Show your work below Name: School: Date: Facilitator: 12.08 Problem Solving with Surface Area and b) Find the height of the cylindrical portion of the silo. Volume Hint: Now that you know the radius of the hemisphere, you can find the height of the cylinder, by Total Height of Silo - Height of Hemisphere h = ft. Total Points: 36 Show your work below On the problems below, show all of your work for full credit. 1. A storage silo is in the shape of a cylinder with a hemisphere at the top. The total height of the silo is 35 ft. The circumference of the cylinder is 22 ft. c) Find the volume of the cylindrical portion of the silo. Hint: Use the formula for the volume of a cylinder V = Show your work below d) Find the volume of the hemispherical portion of the silo. Hint: Use the formula for the volume of a sphere, then divide it by 2. 35 ft V = A. 3 Show your work below e) What is the total volume of the silo? Hint: Add the two volumes together V = ft. C = 22 ft Show your work below a) Find the radius of the silo. 2. Joe is making a toy from a rectangular block of wood. He drills two holes, each with Hint: You can find the radius of a circle when given the circumference. Use C = diameter 1.4 cm, through the block. The block of wood has length 15 cm, width 8 cm, 2xr and solve for r. and height 5 cm. Hint: Look back at YOUR TURN #1 1 = ft. @ACCESS Virtual Learning 2018 @ACCESS Virtual Learning 2018X a) What is the volume of the block before the holes are drilled? 5. A rectangular prism has a width of 10 cm, a height of 9 cm, a length of 7 cm, and a V = cm density of 12 g/cm'. What is the mass of the rectangular prism? Give your answer in Show your work below grams rounded to the nearest hundredth if the answer is not exact. b) What is total volume removed by the drilled holes? V = cm Show your work below Mass = grams c) What is the volume of the block after the holes are drilled? V = cm Show your work below 3. The mass of the block of wood is 3.31 g. Find the density of the block of wood. Give your answer in g/cm* rounded to the nearest hundredth if the answer is not exact. 3cm cm 3 cm density = g/cm Gold has a density of 19.3 gem. What is the volume a 2000 g bar of gold? Give your answer in cm rounded to the nearest hundredth if the answer is not exact. V = cmX 6. A sphere has a radius of 7 cm, and a density of 16 g/cm . What is the mass of the sphere? Give your answer in grams rounded to the nearest hundredth if the answer is not exact. Mass = grams