Question

Plz solve 4 and 5 problem ....... pls reply fast its an urgent

Answer 1

➤Question :-

$\rm The \: Curved \: surface \: area \: of \: a \: cylinder \: is \: \\ \rm 4400 \: {cm}^{2} \: and \: the \: circumference \: of \: its \: \\ \rm base \: is \: 220 \: cm \: .Find \: the \: volume \: of \: cylinder .</p><p>$

➤Answer :-

$\to \boxed{ \rm \:volume \: ( v )= 77000 \: {cm}^{3} } \:$

➤To Find :-

→ Volume of cylinder .

➤Used Formula :-

$\boxed{\star} \rm \: circumfrance \: of \: cylinder = 2 \pi r \\ \\ \boxed{\star} \rm \: volume \: of \: cylinder = \pi \: {r}^{2} h \\ \\ \boxed{\star} \rm \: curved \: surface \: area \: of \: cylinder \\ \rm \: \: \: \: \: \: \: = 2 \pi \: r \: h$

➤Step - by - step explanation :-

Given that -

→ Curved surface area ( C.S.A) = 4400 cm²

→ circumference of its base = 220 cm ,

→ Volume (v) = ? ,

Now ,

$\mapsto \rm \: circumfrance \: of \: its \: base = 220 \\ \\ \mapsto \rm \: 2 \pi \: r = 220 \\ \\ \mapsto \rm \: r = \frac{110}{ \pi} \: \: \because \: \pi = \frac{22}{7} \\ \\ \mapsto \rm \: r = \frac{110 \times 7}{22} \\ \\ \mapsto \rm \: r = 5 \times 7 \\ \\ \mapsto \boxed{ \rm r = 35 \: cm} \\ \\ \bf now \\ \\ \mapsto \rm \: ( C.S.A) = 4400 \: {cm}^{2} \\ \\ \mapsto \rm \: 2 \times \pi \times r \times h = 4400 \\ \: \\ \mapsto \rm \: h = \frac{4400}{2 \times \pi \times r} \\ \: \: \: \: \: \boxed{ \because \rm \: r = 35 \: \: and \: \pi = \frac{22}{7} } \\ \\ \mapsto \rm h = \frac{4400 \times 7}{2 \times 22 \times 35} \\ \\ \mapsto \rm \: h = \frac{200}{2 \times 5} \\ \\ \mapsto \boxed{ \: \rm h = 20} \\ \\ \sf \: and \: now \\ \\ \to \rm voume \: of \: cylinder \: (v) = \pi \: {r}^{2} \: h \\ \\ \to \rm \: v = \frac{22}{7} \times 35 \times 35 \times 20 \\ \\ \to \boxed{ \rm \: v = 77000}$

Hence ,volume of cylinder is 77000 cm³

Answer 2

Answer:

➤Question :-

\begin{gathered} \rm The \: Curved \: surface \: area \: of \: a \: cylinder \: is \: \\ \rm 4400 \: {cm}^{2} \: and \: the \: circumference \: of \: its \: \\ \rm base \: is \: 220 \: cm \: .Find \: the \: volume \: of \: cylinder . < /p > < p > \end{gathered}

TheCurvedsurfaceareaofacylinderis

4400cm

2

andthecircumferenceofits

baseis220cm.Findthevolumeofcylinder.</p><p>

➤Answer :-

\to \boxed{ \rm \:volume \: ( v )= 77000 \: {cm}^{3} } \:→

volume(v)=77000cm

3

➤To Find :-

→ Volume of cylinder .

➤Used Formula :-

\begin{gathered} \boxed{\star} \rm \: circumfrance \: of \: cylinder = 2 \pi r \\ \\ \boxed{\star} \rm \: volume \: of \: cylinder = \pi \: {r}^{2} h \\ \\ \boxed{\star} \rm \: curved \: surface \: area \: of \: cylinder \\ \rm \: \: \: \: \: \: \: = 2 \pi \: r \: h\end{gathered}

⋆

circumfranceofcylinder=2πr

⋆

volumeofcylinder=πr

2

h

⋆

curvedsurfaceareaofcylinder

=2πrh

➤Step - by - step explanation :-

Given that -

→ Curved surface area ( C.S.A) = 4400 cm²

→ circumference of its base = 220 cm ,

→ Volume (v) = ? ,

Now ,

\begin{gathered} \mapsto \rm \: circumfrance \: of \: its \: base = 220 \\ \\ \mapsto \rm \: 2 \pi \: r = 220 \\ \\ \mapsto \rm \: r = \frac{110}{ \pi} \: \: \because \: \pi = \frac{22}{7} \\ \\ \mapsto \rm \: r = \frac{110 \times 7}{22} \\ \\ \mapsto \rm \: r = 5 \times 7 \\ \\ \mapsto \boxed{ \rm r = 35 \: cm} \\ \\ \bf now \\ \\ \mapsto \rm \: ( C.S.A) = 4400 \: {cm}^{2} \\ \\ \mapsto \rm \: 2 \times \pi \times r \times h = 4400 \\ \: \\ \mapsto \rm \: h = \frac{4400}{2 \times \pi \times r} \\ \: \: \: \: \: \boxed{ \because \rm \: r = 35 \: \: and \: \pi = \frac{22}{7} } \\ \\ \mapsto \rm h = \frac{4400 \times 7}{2 \times 22 \times 35} \\ \\ \mapsto \rm \: h = \frac{200}{2 \times 5} \\ \\ \mapsto \boxed{ \: \rm h = 20} \\ \\ \sf \: and \: now \\ \\ \to \rm voume \: of \: cylinder \: (v) = \pi \: {r}^{2} \: h \\ \\ \to \rm \: v = \frac{22}{7} \times 35 \times 35 \times 20 \\ \\ \to \boxed{ \rm \: v = 77000}\end{gathered}

↦circumfranceofitsbase=220

↦2πr=220

↦r=

π

110

∵π=

7

22

↦r=

22

110×7

↦r=5×7

↦

r=35cm

now

↦(C.S.A)=4400cm

2

↦2×π×r×h=4400

↦h=

2×π×r

4400

∵r=35andπ=

7

22

↦h=

2×22×35

4400×7

↦h=

2×5

200

↦

h=20

andnow

→voumeofcylinder(v)=πr

2

h

→v=

7

22

×35×35×20

→

v=77000

Hence ,volume of cylinder is 77000 cm³