Question

find the height of the cylender whose volume is 3465 cm and diameter of the base is 21 cm

Answer 1

$\boxed{hlo}$

here is ur answer...

volume of cyclinder = πr²h

diameter = 21
radius = 21 / 2 = 10.5cm
volume = 3465

height = ?

22 / 7 × ( 10.5)² × h = 3465

22 / 7 × 110.25 × h = 3465

22 × 15.75 × h = 3465

h = 3465 / 22 × 15.75

h = 3465 × 100 / 22 × 1575

h = 346500 / 34650

h = 10cm

height = 10cm

hope it helps......
♥♥

Answer 2

$\huge \bf{ \red{ANSWER}}$

$\bf{10 \: cm}$

$\bf{QUESTION}$

find the height of the cylender whose volume is 3465 cm^3 and diameter of the base is 21 cm

$\bf{step \: by \: step \: explanation}$

$\sf{given = }$

volume of cylinder= 3465 cm^3

and

diameter= 21 cm

hence

radius= 21/2cm

Hence

According to formula

Volume of cylinder

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

Hence

$\frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} \times h = 3465 \: cm ^{3}$

$= > \: 11 \times 3 \times \frac{21}{2} \times h = 3465$

$= > 33 \times \frac{21}{2} \times h = 3465$

$\frac{693}{2} \times h = 3465$

=> 693*h=3465*2

=> 693*h= 6930

$= > \: h = \frac{6930}{693}$

$\bf{hence }$

$\bf{h = 10 \: cm}$

$\bf{thanks}$