Question

The area of the base of a right circular cylinder is 872 cm square and its volume is 4360 cm cube. Find the height of cylinder.

Answer 1

$\huge{\boxed{\rm{\red{G}\orange{i}\green{v}\pink{e}\purple{n}:}}}$

The area of the base of a right circular cylinder is 872 cm square

And volume is 4360 cm cube

$\huge{\boxed{\rm{\red{To}\ \orange{be}\ \green{fo}\pink{un}\purple{d:}}}}$

The height of the cylinder.

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The formula for finding

$\huge{\red{\sf{Area\ of\ the\ circle\ of\ base\ of\ cylinder=\pi r^{2}}}}$

And

$\huge{\red{\sf{Volume\ of\ cylinder=\pi r^{2}h}}}$

So, without finding the radius we can find the height of the cylinder as

area of circle = πr² is there in volume = πr²h

So,

Volume = 4360 cm cube

$\implies \bf \pi r^{2} h = 4360 \\ \\ \implies \bf [area\ of\ base] \times h = 4360 \\ \\ \implies 872 \times h = 4360 \\ \\ \implies \bf h = \frac{4360}{872} \\\\ \implies \bf h = 5 cm$

Hence,

Height of the cylinder = 5cm

Answer 2

Answer:

Answer:

Solution:

Given that area of base of right cylinder = 872 cm²

area of base of right cylinder =  π r²

where "r" is the radius

872 = π × r²

π r² = 872 cm ²

π r² = 872 × 10^-4

Given volume = 4360 m³

Volume of cylinder =π r²h

Now as we calculated, substitute π r² = 872 × 10^-4  in above formula

4360 = 872 × 10^-4×h

h=4360/872 × 10^-4

h=5 × 10^4 =50000metre

Hence height of cylinder = 50000 metre

hope it helps!!!!!!!!!!!!!!!!!!!!!!!!!!!