Question: 11.07 Problem Solving with Surface Area and Volume Total points: 36 On the problems below, show all of your work for full credit. 1. A

11.07 Problem Solving with Surface Area and Volume Total points: 36 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. 35 ft C = 22 ft a) Find the radius of the silo. Hint: You can find the radius of a circle when given the circumference. Use C = 2nr and solve for r. r= 9 it.Show your work below b) Find the height of the cylindrical portion of the silo. 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 35 ft. Show your work below c) Find the volume of the cylindrical portion of the silo. Hint: Use the formula for the volume of a cylinder V= 15 f. 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. V = 5 43 Show your work below 2) What is the total volume of the silo? Hint: Add the two volumes together V= 13 Show your work below2. Joe is making a toy from a rectangular block of wood. He drills two holes, each with diameter 1.4 cm, through the block. The block of wood has length 15 cm, width 8 cm, and height 5 cm. Hint: Look back at YOUR TURN #1 a) What is the volume of the block before the holes are drilled? V= 33 cm- Show your work below b) What is total volume removed by the drilled holes? V= 4 cm Show your work below c) What is the volume of the block after the holes are drilled? V = 23 C Show your work below

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