Answer:
The diameter of the base of the cylinder is 2 cm.
Step-by-step explanation:
<u>GIVEN</u> :
As per given question we have provided that :
- ➣ Height of cylinder = 14 cm
- ➣ Curved surface area = 88 cm²
![\begin{gathered}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cend%7Bgathered%7D)
<u>TO</u><u> </u><u>FIND</u> :
in the provided question we need to find :
- ➠ Radius of cylinder
- ➠ Diameter of cylinder
![\begin{gathered}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cend%7Bgathered%7D)
<u>USING</u><u> </u><u>FORMULAS</u> :
![\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}](https://tex.z-dn.net/?f=%5Cstar%7B%5Cunderline%7B%5Cboxed%7B%5Csf%7B%5Cpurple%7BCsa%20%3D%202%20%5Cpi%20rh%7D%7D%7D%7D%7D)
![\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}](https://tex.z-dn.net/?f=%5Cstar%7B%5Cunderline%7B%5Cboxed%7B%5Csf%7B%5Cpurple%7Bd%20%3D%202r%7D%7D%7D%7D%7D)
- ➛ Csa = Curved surface area
- ➛ π = 22/7
- ➛ r = radius
- ➛ h = height
- ➛ d = diameter
![\begin{gathered}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cend%7Bgathered%7D)
<u>SOLUTION</u> :
Firstly, finding the radius of cylinder by substituting the values in the formula :
![\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}](https://tex.z-dn.net/?f=%20%5Cbegin%7Bgathered%7D%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7BCsa%20%3D%202%20%5Cpi%20rh%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D%202%20%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%20%5Ctimes%20r%20%5Ctimes%2014%7D%7D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D%5Cdfrac%7B44%7D%7B7%7D%20%5Ctimes%20r%20%5Ctimes%2014%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D%5Cdfrac%7B44%7D%7B%5Ccancel%7B7%7D%7D%5Ctimes%20r%20%5Ctimes%20%20%5Ccancel%7B%2014%7D%7D%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D44%20%5Ctimes%20r%20%5Ctimes%202%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D88%20%5Ctimes%20r%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7Br%20%3D%20%20%5Cfrac%7B88%7D%7B88%7D%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Cunderline%7B%5Cunderline%7B%5Csf%7B%5Cpink%7Br%20%3D%201%20%5C%3A%20cm%7D%7D%7D%7D%7D%7D%20%5Cend%7Bgathered%7D)
Hence, the radius of cylinder is 1 cm.
———————————————————————
Now, finding the diameter of cylinder by substituting the values in the formula :
![\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7Bd%20%3D%202r%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7Bd%20%3D%202%20%5Ctimes%201%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Cunderline%7B%5Cunderline%7B%5Csf%7B%5Cred%7Br%20%3D%202%20%5C%3A%20cm%7D%7D%7D%7D%7D%7D%5Cend%7Bgathered%7D)
Hence, the diameter of the base of the cylinder is 2 cm.
![\rule{300}{2.5}](https://tex.z-dn.net/?f=%5Crule%7B300%7D%7B2.5%7D)
The triangle would be an isosceles triangle, because it has two equal sides and two equal angles
(b-y)(a-x)
Step-by-step explanation:
<u>The correct question is;</u>
Grouping method to factor the given expression: ab-ay-bx+ xy
Given the expression as :ab-ay-bx+ xy collect like terms
ab-bx-ay+xy
Factorize
b(a-x)-y(a-x)
simplified to
(b-y)*(a-x)
Learn More
Factoring by grouping: brainly.com/question/11929100
Keywords : grouping, method,factor, expression
#LearnwithBrainly
Answer:
I believe it is 114
Step-by-step explanation:
If the ^ is a divided sign then 5x if it’s a multiplication sign 20x! Don’t forget Order of operations.