Question

Given $V = \pi r^2h$ and V = 410, $\pi = \frac{22}{7}$, and r = 6, find $h$ (correct to 2 decimal places)

Answer 1

Answer:

Required value of h is 1435 / 396 which is approximately equal to 3.62 .

Step-by-step-explanation:

Here, the given numeric values of V , r and π are 410 , 6 and 22 / 7 respectively.

And, given algebraic value of V is πr^2h.

= > V = πr^2h

Substituting the numeric values given in this question :

$\implies 410 = \dfrac{22}{7} \times 6 {}^{2} \times h \\ \\ \implies 410 = \dfrac{22}{7} \times 6 \times 6 \times h \\ \\ \implies 410 = \dfrac{22}{7} \times 36 \times h$

Multiplying both sides by $\dfrac{7}{22} \times \dfrac{1}{36}$

$</p><p>\implies 410\times \dfrac{7}{22} \times \dfrac{1}{36} = \dfrac{22}{7} \times 36 \times \dfrac{7}{22} \times \dfrac{1}{36} \times h \\\\ \implies 410 \times \dfrac{7}{22} \times \dfrac{1}{36} = h \\ \\ \implies \: \frac{205 \times 7}{11 \times 36} = h \\ \\ \implies \dfrac{1435}{396} = h$

Hence the required value of h is 1435 / 396 which is approximately equal to 3.62

Answer 2

Answer:

The value of h is 3.62 .

Step-by-step explanation:

CYLINDER:

Actually, the question is based completely on the formula of:

Volume of a cylinder= πr²h

We have been given:

V = 410

r = 6

π = 22/7

To find:

Value of 'h'

Condition: upto 2 decimal places.

If you have the formula then, congratulations! you will most probably be able to find the answer.

We, have even been provided with the formula as "V = πr²h"

All you need to do is just to substitute the values given in the question in the formula and find h upto 2 decimal places.

So,

V = π r² h

410= 22/7 × 6² × h

410 = 22/7 × 6×6 × h

410 = 22/7 × 36 × h

h = 410 × 7 / 22 × 36

h = 2870/ 22 × 36

(divide 2870 and 22 by 2)

h = 1435 / 11 × 36

h = 1435 / 396

h = 3.62

The decimal value of "h" upto two decimal is 3.62.