Below is a piece of a local pizza place menu where Jacob works. Large Cheese Pizza $14.85 Large Supreme Pizza $16.90 Cheese Stic
ks $5.99 Dessert Pizza $6.99 Use the information above to answer the following questions. 1. A customer has $75 to spend for a pizza party and knows she needs 3 supreme pizzas. Jacob tells her she can also afford to buy 4 dessert pizzas. Is this reasonable? Justify your response using estimation. If the answer is not reasonable, identify the error and then calculate the correct solution. 2. A family comes in with a coupon for $5 off any purchase and wants to know how much it will cost for 1 large supreme pizza and 1 order of cheese sticks if they use their coupon. Jacob says it will be $17.89. Is this reasonable? Justify your response using estimation. If the answer is not reasonable, identify the error and then calculate the correct solution. 3. A customer calls in a delivery order for 3 large cheese pizzas and 2 dessert pizzas. The customer wants to give a 20% tip to the delivery driver. Jacob says that $5 would be about 20%. Is this reasonable? Justify your response using estimation. If the answer is not reasonable, identify the error and then calculate the correct solution. 4. The largest order last Saturday was from a basketball team that ordered 5 large supreme pizzas, 5 large cheese pizzas, 5 orders of cheese sticks and 5 dessert pizzas. Jacob said the total was about $225. Is this reasonable? Justify your response using estimation. If the answer is not reasonable, identify the error and then calculate the correct solution. 5. Adding additional toppings to a large cheese pizza cost $1.39 per topping. The equation 14.85 + 1.39x = 20 can be used to determine the number of toppings that can be added to a large cheese pizza for a total of $20. Jacob solves the equation and says you can get 4 toppings added if you have $20. Is this reasonable? Justify your response. If the answer is not reasonable, identify the error and then calculate the correct solution.
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
