The volume of a cylinder is calculated from the product of its base area and the height. The base area is equal to the area of a circle which is expressed as A = πr^2 where r is one half the diameter and the radius of the circular base. So, the volume of a cylinder is equal to:
Volume of cylinder = π(r^2)h
r = D/2 = 3.5 in / 2 = 1.75 in
h = 12 in
Volume of cylinder = π((1.75 in)^2)( 12 in )
Volume of cylinder = 147π/4 in^3 or 115.45353 in^3
Therefore, the volume of the cylinder given its specifications would be equal to 115.45 cubic inches.
Answer: the flagpole is 16 feet tall.
Step-by-step explanation:
A right angle triangle is formed.
The distance of the point on the ground from the base of the flagpole represents the adjacent side of the right angle. The height of the flagpole from the ground represents the opposite side of the right angle.
To determine the height, h of the flagpole, we would apply the Tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 53 = h/12
h = 12Tan53 = 12 × 1.327
h = 16 feet to the nearest whole number
97336/125
mixed number form: 778 86/125
i attached a picture of my work (sorry it’s a little sloppy haha i did it quickly)
what i did was convert each mixed number to an improper fraction, then simply multiplied the numerators by each other and then the denominators by each other
Answer:
The slope is dy/dx= -1/2
Step-by-step explanation:
Y-3= -1/2(X -2)
Y= -1/2x +2/2 +3
Y= -1/2x +1+3
Y= - 1/2x +4
The slope dy/dx= -1/2
SAS because of the side, angle and the reflexive which is a side.