Question

plz answer the above​

Answer 1

Answer:

b) 3:1

Step-by-step explanation:

Volume of cylinder = pi r^2h

Volume of cone = 1/3 pi r^2 h

Ratio = ( pi r^2h) / (1/3 pi r^2 h)

= 1/1/3 = 3/1

3:1

Answer 2

$\underline{\underline{\sf \qquad Given :\qquad}}$

• A cylinder and a cone are of the same base radius and of same height.

$\underline{\underline{\sf \qquad To \: Find:\qquad}}$

• The ratio of the volume of cylinder to that of the cone = ?

$\underline{\underline{\sf \qquad Solution:\qquad}}$

$\bullet\:\textsf{Volume of cone = \textbf{ \dfrac{ \text1}{ \text3} \pi r ^ \text2 h}}$

$\bullet\:\textsf{Volume of cylinder = \textbf{ \pi r ^ \text2 h}}$

$\frak {\pink{Where}}\begin{cases} \sf{\red{r \: is \: the \: base \: radius}}\\ \sf{\orange{h \: is \: the \: Height}}\end{cases}$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf Required \: ratio = \dfrac{Volume \: of \: cylinder}{Volume \: of \: cone}$

$:\implies\sf Required \: ratio = \dfrac{\pi {r}^{2}h }{ \dfrac{1}{3} \pi {r}^{2}h}$

$:\implies\sf Required \: ratio = \dfrac{1}{ \dfrac{1}{3} }$

$:\implies\sf Required \: ratio = \dfrac{1 \times 3}{ 1 }$

$:\implies \underline{ \boxed{\sf Required \: ratio = \dfrac{3}{ 1 } }}$

$\therefore\:\underline{\textsf{The ratio of the volume of cylinder to that of the cone is \textbf{3 : 1}}}.$