Question

FIND THE HEIGHT OF A CYLINDER WHOSE VOLUME IS 1024 CM3 IF IT'S RADIUS IS 7 CM

Answer 1

6.65cm is the required answer of this question

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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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