Question

1. d - 2c

sean knows the length of the base, ( b ), and the area, ( a ), of a triangular window in his bedroom. which formula could he use to find the height, ( h ), of this window?

1. ( h = 2a - b )
2. ( h = \frac{a}{2b} )
3. ( h = (2a)(b) )
4. ( h = \frac{2a}{b} )

the formula for the volume of a right circular cylinder is ( v = pi r^2 h ). the value of ( h ) can be expressed as

1. ( \frac{v}{pi} r^2 )
2. ( \frac{v}{pi r^2} )

Explanation:

First Sub - Question (Triangular Window Height)

Step1: Recall triangle area formula

The area formula of a triangle is $A=\frac{1}{2}bh$.

Step2: Solve for h

Multiply both sides of the formula $A = \frac{1}{2}bh$ by 2: $2A=bh$. Then divide both sides by $b$: $h=\frac{2A}{b}$.

Step1: Start with cylinder volume formula

The volume formula of a right - circular cylinder is $V=\pi r^{2}h$.

Step2: Solve for h

Divide both sides of the formula $V=\pi r^{2}h$ by $\pi r^{2}$: $h = \frac{V}{\pi r^{2}}$.

Answer:

1. $h = \frac{2A}{b}$

Second Sub - Question (Cylinder Height)