Find the value of each of the following using the column method:
(23)^2
(35)^2
(52)^2
(96)^2
Answers
The surface are of bucktet= CSA of frustum
Radius of top (R)= 15cm
radius of bottom 2(r)= 5cm
Height (h)= 24cm
we gave to find out the surface area of the bucket !
Surface area = πl(R+r)
where ,
\sf\ l= \sqrt{R-r)^2+h^2} l=
R−r)
2
+h
2
Now first find the slant height of frustum:-
\begin{gathered}\implies\sf\ l= \sqrt{15-5)^2+(24)^2}\\ \\ \implies\sf\ l= \sqrt{(10)^2+(24)^2}\\ \\ \implies\sf\ l= \sqrt{100+576}\\ \\ \implies\sf\ l= \sqrt{676}\\ \\ \implies{\red{\sf\ \ l= 26cm}}\end{gathered}
⟹ l=
15−5)
2
+(24)
2
⟹ l=
(10)
2
+(24)
2
⟹ l=
100+576
⟹ l=
676
⟹ l=26cm
Now surface area:-
\begin{gathered}\implies\sf\ S.A= \dfrac{22}{7}\times (15+5)\times 26\\ \\ \\ \implies\sf\ S.A= \dfrac{22\times 20\times 26}{7}\\ \\ \\ \implies\sf\ S.A= \dfrac{440\times 26}{7}\\ \\ \\ \implies\sf\ S.A= \cancel{\dfrac{11440}{7}}\\ \\ \\ \implies{\boxed{\purple{\sf\ Surface\ area= 1634.28 cm^2}}}\end{gathered}
⟹ S.A=
7
22
×(15+5)×26
⟹ S.A=
7
22×20×26
⟹ S.A=
7
440×26
⟹ S.A=
7
11440
⟹
Surface area=1634.28cm
2
\underline{\bigstar{\sf The\ surface\ area\ of\ bucket \ is \ 1634.28cm^2}}
★The surface area of bucket is 1634.28cm
2