Question

If the
the volume of a cylinder is
3000 cm3, then volume of the cone
of same base and height is​

Answer 1

Step-by-step explanation:

volume of cylinder= 3000 cm^3

volume of cone = 1/3 × volume of cylinder having same base and same height

= 1/3× 3000

= 1000 cm^3

so If the volume of a cylinder is 3000 cm3, then volume of the cone of same base and height is 1000 cm^3

Answer 2

Answer:

$1000 \: {cm}^3$

Step-by-step explanation:

Let the height of the cone = h

the radius of the cone = r

According to the question,

height of cone = height of cylinder = h

radius of cone = radius of cylinder = r

$\color{yellow}\boxed{ \huge\mathfrak{ \colorbox{gray}{Given :-}}}$

$volume \: of \: cylinder = 3000 \: {cm}^{3}$

$\implies\pi {r}^{2} h = 3000$

$\implies \frac{22}{7} \times {r}^{2} \times h = 3000$

$\implies {r}^{2} \times h = \frac{21000}{22} \: \: \: \: \: \: \: \: \: (1)$

Now,

$volume \: of \: cone = \frac{1}{3}\pi {r}^{2} h$

$\implies \frac{1}{3} \times \frac{ \not22}{ \not7} \times \frac{ \not21000 ^{3000} }{ \not22} \: \: \: (from \: 1)$

$\implies \frac{3000}{3}$

$\implies1000 \: {cm}^{3}$