Question

A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter o the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements

Answer 1

$hello \: dear \: here \: is \: your \: answer$


$given =$

Height Of the Cylindrical neck = 8 cm

Diameter= 2cm

Radius of the cylinder = 2/2= 1 Cm

Volume of Cylinder=
$\pi {r}^{2} h$

$= 3.14 \times {1}^{2} \times 8 \\ \\ = 3.14 \times 8 \\ \\ = 25.12 {cm}^{3}$

Volume of sphere =

$\frac{4}{3} \pi {} {r}^{3}$

$\frac{4}{3} \times 3.14 \times {(4.25)}^{2}$

$= 321.39 {cm}^{3}$

Volume of vessel= Volume of sphere+ volume of cylinder

321.39+ 25.12=

$346.51 {cm}^{3}$

Hence volume is incorrect by the child

$hope \: helps$

Answer 2

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