Answer:
C
Step-by-step explanation:
let hypotenuse of triangle with 60°=y
What is the volume of the cone with radius 6 m and height 12 m? Express the answer in terms of π.
2 answers:
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Answer: 4410
Step-by-step explanation:
To find the area of a square or rectangle, all you need to do is multiply the length times the width:
L × W = A
The lengh is 100, and the width is 50
100 × 50 = 5000
However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.
First, let's get the two circles over with. To find the area of a circle, use this formula:
A = π r is the radius, which in this case, is 6
A = π
A = 113 This isn't the exact answer, the exact answer would be 113.0973...
Now let's multiply the area of one of those circles by 2, since we have 2 circles:
113 × 2 = 226
Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:
26 × 14 = 364
The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:
5000 - (226 + 364) = 4410
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC =
=
= 18 units²
Area of ΔBDE =
=
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
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