Question

From a cubical wooden block of side 14 cm,a cylindrical is curved.what is maximum possible volume of that cylinder?

Answer 1

Answer:

THE RADIUS OF THE LARGEST POSSIBLE CUBE=7cm

HEIGHT =14cm

VOLUME= PIE x RADIUS^2 x HEIGHT

               =22/7 x 7 x 7 x 14

               = 2156 cm^3

Step-by-step explanation:

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Volume\:of\:cylinder=2156\:cm^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given:}} \\ \tt: \implies Side \: of \: cube = 14 \: cm \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Volume\:of\:cylinder=?$

• According to given question :

$\circ \: \tt{Largest \: possible \: radius = 7 \: cm} \\ \\ \circ \: \tt{Largest \: possible \: height =14 \: cm}\\ \\ \bold{as \: we \: know \: that} \\ \tt: \implies Volume \: of \: cylinder = \pi {r}^{2} h \\ \\ \tt: \implies Volume \: of \: cylinder = \frac{22}{7} \times {7}^{2} \times 14 \\ \\ \tt: \implies Volume \: of \: cylinder =22 \times 7 \times 14 \\ \\ \green{\tt: \implies Volume \: of \: cylinder =2156 {cm}^{3} } \\ \\ \green{\tt{\therefore Largest \: possible \: cylinder \: can }} \\ \green{\tt{ \: \: \: \: cut \: from \: this \: cube \: is \: 2156 {cm}^{3} }}$