Question

the volume of right circular cylinder is 1848cm³ and its height 12 cm find its radius and total surface or cylinder​

Answer 1

Answer:

Right cylinder

Solve for radius

r≈7cm

h Height

12

cm

V Volume

1848

cm³

Using the formula

V=πr2h

Solving forr

r=V

πh=1848

π·12≈7.00141cm

Step-by-step explanation:

Mark brainiest if you want

Hope it helps

Answer 2

Given information : The volume of right circular cylinder is 1848cm³ and its height 12 cm.

Need to find out : Radius of cylinder and total surface area of cylinder

$\qquad \rule{80mm}{0.5mm}$

$We have , \\ \begin{gathered}\frak{we\;have}\begin{cases}\sf{\:\; \:Height = \bf{12cm} }\\\sf{ \: \: \: volume \: of \: circular \: cylinder= \bf{1848 {cm}^{3} }}\\ \end{cases}\end{gathered} \\ \\ \maltese \: \textsf{Let the Radius of cylinder be 'r' } \\ \\ \\ \red \bigstar\blue{\underline \textbf{As we know that }} \\ \\ \underline{ \boxed{\pmb{ \bf{Curved \: surface \: area \: o f \: cylinder = 2π {r}^{} h}}}} \\ \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {\begin{gathered} \sf{} \: \: \: \huge\boxed{ \begin{array}{cc} \: \small{ \textbf{where}}\: \\ \small π = \frac{22}{7} \\ \small \: \sf \: r\: = radius \: \: \\ \small\sf \: h = \: height\: \: \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{} \end{gathered}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \\ \\ \underline{\red \bigstar{ \blue{ \textbf{Substitute in formula we get }}}} \\ \\ \dashrightarrow \tt{ \: Curved\; surface\; area_{ \green{(cylinder)}} = \pi {r}^{2} h} \\ \\ \dashrightarrow \tt \:1848 = 2 \times \frac{22}{7} \times r \times 12 \\ \\ \dashrightarrow \tt1848 = \frac{44}{7} \times r \times 12 \\ \\ \dashrightarrow \tt1848 = \frac{528}{7} \times r \\ \\ \dashrightarrow \tt1848 = 76 \times r \\ \\ \dashrightarrow \tt \: r = \cancel\frac{1848}{76} \\ \\ \dashrightarrow \tt \underline{ \boxed{ \frak{radius = 24cm}}} \\ \\ \\ \pmb{\textbf{\underline{Now we find Volume of cylinder }}} \\ \\ \\ \underline{ \boxed{ \frak{Volume \: of \: cylinder = \pi {r}^{2} h}}} \\ \\ \underline\textbf{substitute values \: in \: formula\: } \\ \\ \dashrightarrow \tt \: Volume_{ \red{cylinder}} = \frac{22}{7} \times {(24)}^{2} \times 12 \\ \\ \dashrightarrow \tt \: Volume_{ \red{cylinder}} = \frac{22}{7} \times 24 \times 24 \times 12 \\ \\ \dashrightarrow \tt \: Volume_{ \red{cylinder}} = \frac{22}{7} \times 576 \times 12 \\ \\ \dashrightarrow \tt \: Volume_{ \red{cylinder}} = \frac{22}{7} \times 6912 \\ \\ \dashrightarrow \tt \: Volume_{ \red{cylinder}} = \frac{152064}{7} \\ \\ \dashrightarrow \tt \: \underline{ \boxed{ \sf \: Volume_{ \red{cylinder}} =21,724 {cm}^{3} }}$

Therefore The volume of cylinder be 21,724cm³