Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
First, we need to find the base. A cone has a circle for the base. To find the area of a circle, we square the radius and multiply it by pi (we will use 3.14).
4²=16
16×3.14= 50.24
Now, we multiply our base by the height.
50.24×8=401.92
Finally, we divide by three.
401.92÷3≈133.973 (to nearest thousandth)
Therefore, the volume of the cone is about 133.973 units cubed. If you were to use exact pi, it would be more like 134 because of all those decimals after pi!
Now you can find the volume of cones!
I hope that this helps! Have a wonderful day!
Answer:
Inverse proportionality relationship
Step-by-step explanation:
SInce I equals 50 divided by t, we see "t in the denominator, which corresponds to an INVERSE proportionality between these variables (I and t)
Answer:
Length = 22 inches, Width = 5 inches
Step-by-step explanation:
Let P represent the Perimeter, L , the length and W, the width
Perimeter of a rectangle, P = 2 (L + W) ....eq 1
from the question;
L = 2 + 4W .....eq 2
Slotting in the respective values of P and L in eq 1
54 = 2{(2 + 4W) + W}
Expanding the bracket
54 = 2(2 + 5W)
54 = 4 + 10W
Subtracting 4 from both sides of the equation
54 - 4 = 10 W
50 = 10W
Dividing both sides by the coefficient of W which is 10
5 = W
Therefore, W = 5 inches
Slotting in the value of W in eq 2
L = 2 + 4(5)
L = 2 + 20
L = 22 inches
Now lets check our answers by slotting in the values of P, L and W in eq 1
54 = 2 (22 + 5)
54 = 2 (27)
54 = 54
Since both sides of the equation are equal, the values of L and W are correct
Hence Length = 22 inches, Width = 5 inches