Answer:
Circumference: 12π
Area: 36π
Step-by-step explanation:
The equation for the circumference of a circle is:
C = πd
Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.
C = 12π
And now we have found the circumference of the circle.
The equation for the area of a circle is:
A = πr²
Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:
12 = 2r
r = 6
Now that we know r, we can find the area of the circle:
A = π(6)²
A = 36π
Now we have found the area.
So the circumference is 12π and the area is 36π.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
a and d
Step-by-step explanation:
did it on edgenuity
Volume of a cone = (1/3) pi x r^2 x h
Volume of a cylinder = pi x r^2 x h
Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches
Now set the volume for the cone to the volume of the cylinder and solve for the height.
37.68 = (1/3) x pi x r^2 x h
37.68 = (1/3) x pi x 3^2 x h
37.68 = (1/3) x pi x 9 x h
37.68 = 9.42 x h
h = 37.68 / 9.42
h = 4
The height of the cone is 4 cm.
You are doing the distributive property.
68.5j+76.54
In this problem it is asking how many gallons the pool holds. It gives you a method of exchange from cubic feet to this however, so in order to solve for this, we first have to solve for how many cubic feet is in the swimming pool, or how much volume the swimming pool has. The formula for the volume of a rectangle is Length*Width*Depth=Volume. Plugging in what we have we get 30*20*6=Volume, or Volume = 3600. As there are 7.5 gallons of water in each cubic foot, we simply multiply 7.5 times 3600 to get the answer. This is 27000.
