Question

the radii of two circular ends of frustum shape bucket are 14cm and 7cm height of the bucket is 30cm how many liters of water it can hold (1 litre=1000cm3

Answer 1

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Answer 2

Given:

• $\sf{r_{1}} = 14cm$

• $\sf{r_{2}} = 7cm$

• $\sf{Height (h) = 30cm}$

To Find:

• $\sf{Water \: Holding \: Capacity = \: ?}$

Solution:

$\boxed{\sf\star\green{\sf \: Volume \: Of \: Bucket = \dfrac{1}{3} \pi( {r_1}^2 + {r_2}^2 + r_1 \times r_2 ) \times h}}$

$\sf:\implies{ \dfrac{1}{3} \times \dfrac{22}{7} \times ( {14}^{2} + {7}^{2} + 14 \times 7) \times 30}$

$\sf:\implies{1 \times \dfrac{22}{7} \times (196 + 49 + 98) \times 10}$

$\sf:\implies{ \frac{22}{7} \times 343 \times 10}$

$\sf:\implies{10780 {cm}^{3} }$

$\sf:\implies{\dfrac{\cancel{10780}}{\cancel{1000}}}$

$\dashrightarrow\underline{\boxed{\textbf{\textsf{Volume \: Of \: Bucket = 10.78 litres}}}}$

$\therefore\underline{\sf Bucket \: Can \: Hold \: \textbf{\textsf{10.78 litres \: Of \: Water.}}}$