Question

Shalini made a cylindrical kaleidoscope of radius 10.5 cm and height 60 cm. If the density of the material is 5g/cm^ 3 . Find its mass.​​

Answer 1

Answer:

$\huge \underline \mathbb \color{red} answer \star$

103.95 kg

Answer 2

weightofthesolidcylinder

\green { = 103.95 \:kg }=103.95kg

Step-by-step explanation:

Dimensions \: of \: a \: cylinder :Dimensionsofacylinder:

Radius (r) = 10.5 \:cmRadius(r)=10.5cm

Height (h) = 60\:cmHeight(h)=60cm

\boxed { \pink {Volume \: of \: a \: cylinder = \pi r^{2}h }}

Volumeofacylinder=πr

2

h

V = \frac{22}{7} \times (10.5)^{2}\times 60V=

7

22

×(10.5)

2

×60

= \frac{22}{7} \times 10.5\times10.5\times 60=

7

22

×10.5×10.5×60

= 22 \times 1.5\times10.5\times 60=22×1.5×10.5×60

= 20790\: cm^{3}=20790cm

3

/* According to the problem given,

1\:cm^{3} \: material \: weight = 5 \:gm1cm

3

materialweight=5gm

\begin{gathered} 20790 \:cm^{3} \: cylinder \: material \: weight \\= 5 \times 20790 \\= 103950\:gm\\= 103.95\:kg\end{gathered}

20790cm

3

cylindermaterialweight

=5×20790

=103950gm

=103.95kg

Therefore.,

\red { weight \: of \: the \: solid \: cylinder }weightofthesolidcylinder

\green { = 103.95 \:kg }=103.95kg

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