Find the volume of water in a cylindrical pipe 1m long and 7cm in diameter,
First, we need to find the radius of the pipe.
Radius = Diameter/2 = 7cm/2 = 3.5cm = 0.035m
Next, we can use the formula for the volume of a cylinder:
Volume = πr^2h
Where:
π = 3.14 (the mathematical constant pi)
r = radius
h = height
Substituting our values:
Volume = π(0.035m)^2(1m)
Simplifying:
Volume = 0.0385 m^3
Therefore, the volume of water in the cylindrical pipe is 0.0385 cubic meters.
Volume of cylinder
The volume of a cylinder can be calculated using the following formula:
Volume = πr^2h
Where:
π = 3.14 (the mathematical constant pi)
r = radius of the cylinder
h = height or length of the cylinder
To find the volume of a cylinder, simply substitute the values of r and h into the formula and solve for the volume in cubic units (such as cubic centimeters or cubic meters).
Make y the subject of formula y/r - x/p =y/x
Starting with:
y/r - x/p = y/x
First, get rid of the fractions by multiplying both sides by the lowest common multiple of the denominators, which is rpx:
rpx * (y/r) - rpx * (x/p) = rpx * (y/x)
Simplifying:
py - rx = r*y*p/x
Next, isolate y on one side of the equation. Add rx to both sides:
py = r*y*p/x + rx
Factor out y on the right-hand side:
py = y(rp/x) + rx
Subtract y(rp/x) from both sides:
py - y(rp/x) = rx
Factor out y on the left side:
y(p - rp/x) = rx
Finally, divide both sides by (p - rp/x) to isolate y:
y = rx / (p - rp/x)
Therefore, the formula for y as the subject is:
y = rx / (p - rp/x)
Find the area of rectangular forest whose perimeter is90cm and the sides are in the ratio 4:5
Let's first assume that the sides of the rectangular forest are 4x and 5x, where x is a common factor. Then we can write:
Perimeter = 2(Length + Width)
90 = 2(4x + 5x)
90 = 2(9x)
90 = 18x
x = 5
Therefore, the length and width of the rectangular forest are 4x and 5x respectively, which means:
Length = 4x = 4(5) = 20 cm
Width = 5x = 5(5) = 25 cm
To find the area, we simply multiply the length and width of the rectangle:
Area = Length x Width
Area = 20 cm x 25 cm
Area = 500 cm^2
Therefore, the area of the rectangular forest is 500 cm^2.