Answer:
Step-by-step explanation:
Surface area of cylinder = 2πr(h + r)
Volume of cylinder = πr²h
Given that S.A = Volume of the cylinder, therefore, we have:
2πr(h + r) = πr²h
Radius (r) is given as 2.5 cm
height (h) = x cm
Input the values and solve for x
2πr(h + r) = πr²h
2πr(h + r) = πr(rh)
2(h + r) = rh (πr cancels πr)
Subtract 2x from both sides
Divide both sides by 0.5
Person A takes 2.3 days to paint the house working alone
Person B takes 13.8 days to paint the house working alone
<em><u>Solution:</u></em>
Let "x" be the number of days it takes person A to paint the house
Person A can paint the neighbor's house 6 times as fast as Person B
Therefore.
Number of days it takes person B to paint the house = 6x
Their rates of painting are added to get the rate working together
Thus person A takes 2.3 days to paint the house working alone
Person B = 2x = 6(2.3) = 13.8
Thus person B takes 13.8 days to paint the house working alone