Question

The volume of a cylinder is 1024 cm. find the height if it's radius is 7 cm.​

Answer 1

Answer:

$given$

$volume = \pi \: {r}^{2} h$

$1024 = 22 \div 7( {7)}^{2} \times h$

$1024 = 22 \times 7 \times h$

$h = 6.669 = 6.65$

Answer 2

Given:

• Volume of cylinder = 1024 cm²
• Radius of cylinder (r) = 7 cm

To Find:

• Height of cylinder (h)?

Required Formula:

$\boxed{\frak{ Volume of cylinder = πr²h }} \color{indigo} \bigstar$

Where,

• π denotes pi
• r denotes radius of cylinder
• h denotes height of cylinder

Values of given formula:

• Pi (π) = 22/7
• Radius of cylinder (r) = 7 cm
• We have to find out height of cylinder (h)

Solution:

$\begin{gathered} \underline{\underline{ \color{pink} \frak{{According to the question}}}} \\ \\ :\implies\sf 1024 = \dfrac{22}{7}\:\times\:(7)^2\:\times\:h \\ \\ \\ :\implies \sf 1024 = \dfrac{22}{\cancel{7}}\:\times\:\cancel{7}\:\times\:7\:\times\:h \\ \\ \\ :\implies\sf 1024 = 22\:\times\:7\:\times\:h \\ \\ \\ :\implies\sf 1024 = 154\:\times\:h \\ \\ \\  :\implies\sf h = {\cancel{\dfrac{1024}{154}}} \\ \ \\ \ : \implies \underline {\boxed{ \frak{h\: = \:6.64\:cm}}} \pink\bigstar \\ \\ \\∴\underline{\sf{Hence, height of cylinder is  \textsf{ \textbf{6.64 cm (approx)}}}.}\end{gathered}$

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