Answer:
51m
Step-by-step explanation:
-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:
-Using ratios:

Let h be the height of the flagpole:

Hence, the height of the pole is 51m
1. 7.00
2. A. <span>Sarah is paying the smaller price of $1.25 per cupcake.
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Answer:
- cylinder — 90π in³
- pyramid — 37 1/3 in³
- cone — 12.5π in³
Step-by-step explanation:
The volume of a cylinder is given by ...
V = Bh . . . . . where B is the base area and h is the height
The volume of a pyramid or cone is given by ...
V = (1/3)Bh . . . . . where B is the base area and h is the height
The area of a square of side length s is ...
A = s²
The area of a circle of radius r is ...
A = πr²
___
Using these formulas, the volumes of these objects are ...
cylinder: (9π in²)(10 in) = 90π in³
square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³
cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid
You would pay $1100.15 (rounded to nearest hundredths)(unrounded would be 1100.14875)
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