Question

The volume of a cylindrical bottle is 88cm3, it's height is _____,if its radius is 2cm.
(1) 5cm
(2) 6cm
(3) 7cm
(4) 8cm
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Answer 1

Answer:

6cm..

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Answer 2

$\huge\purple{Required \: Answer :}$

The volume of a cylindrical bottle is 88 cm^3 , it's height is $\bf\underline{7 \: cm}$ , it it's radius is 2cm.

$\huge\bf{Explanation :}$

Given :

Volume - $88 \: {cm}^{3}$

Radius - $2 \: cm$

To Find :

Height - ?

Formula :

$volume =\pi{r}^{2} h$

Solution :

$volume = \pi {r}^{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 88 \: {cm}^{3} = \frac{22}{7} \times {2}^{2} \times h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 88 \: {cm}^{3} = \frac{22}{7} \times 4 \times h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: h = \frac{88 \times 7}{22 \times 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: h = 7 \: cm$

Hence,

Height of the Cylinder is 7 cm

$\huge\bf{Thanks : ❤}$