Answer:
Correct volume = 100.48 cm³
Step-by-step explanation:
The formula for finding the volume of a cone is:
V = πr²(h/3)
r - Radius
h - Height
V - Volume
To find the correct volume of the cone, we just need to input the measurements into their respective places in the formula and solve. Your work should look similar to the following:
V = πr²(h/3)
V = π(4)²(6/3)
V = π(16)(6/3)
V = π(16)(2)
V = π(32)
V = 100.48 cm³
(You can use the work shown above to find Joan's mistake in her work.)
~Hope this Helps!~
Answer:
95 in.²
Step-by-step explanation:
Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle
Area of triangle = ½*base*height
base = 5 in.
height = 7 in.
Area of triangle = ½*5*7 = 17.5 in.²
Area of rectangle = Length*width = 5*5 = 25 in.²
Plug in the values
Total surface area of the rectangular pyramid = 4(17.5) + 25
= 95 in.²
Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216
Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18
i.e length = 12 and width = 6 + 18 = 18
