Question

If U =π [r+h], find the value of r when U = 16 whole 1/2 and h =2

remember π= 22/7
need help asap

Answer 1

The value of r is 13/4.

Step-by-step Step-by-step explanation:

As per given question we have provided that :

• >> U = 16½
• >> h = 2
• >> π = 22/7

Finding the value of r by substituting the values in the formula :

`\begin{gathered} \qquad{\implies{\sf{U = \pi \Big[r + h\Big]}}}\\\\\qquad{\implies{\sf{16(1)/(2) = (22)/(7) \Big[r + 2\Big]}}}\\\\ \qquad{\implies{\sf{(33)/(2) = (22)/(7) \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{(33)/(2) * (7)/(22) = \Big[r + 2\Big]}}} \\\\\qquad{\implies{\sf{\frac{\cancel{33}}{2} * \frac{7}{\cancel{22}} = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{(3)/(2) * (7)/(2) = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{(3 * 7)/(2 * 2) = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{(21)/(4) = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{r = (21)/(4) - 2}}}\\\\\qquad{\implies{\sf{r = (21 - 8)/(4)}}}\\\\\qquad{\implies{\sf{r = (13)/(4)}}}\\\\ \qquad{\star{\underline{\boxed{\sf{r = (13)/(4)}}}}}\end{gathered}`

Hence, the value of r is 13/4.

`\rule{300}{2.5}`