Question

volume of acone is 753. 60cm. the radius of its base is 12 cm then complete the followings activity to find the heught of the cone​

Answer 1

$\sf\small\underline\purple{Correct\: Question:-}$

The volume of acone is 753. 60cm³. The radius of its base is 12 cm then complete the followings activity to find the height of the cone.

$\sf\small\underline\purple{Given:-}$

$\sf{\leadsto Volume\:_{(cone)}=753.60\:cm^3}$

$\sf{\leadsto Base\: radius\:_{(cone)}=12cm}$

$\sf\small\underline\purple{To\: Find:-}$

$\sf{\leadsto Height\:_{(cone)}=?}$

$\sf\small\underline\purple{Solution:-}$

To calculate the height of cone . Simply by applying formula of volume of cone. As given in the question that radius is 12cm and it's volume is 753.60cm³.

$\sf\small\underline\purple{Calculation\: begin:-}$

$\sf{\leadsto Volume\:_{(cone)}=\dfrac{1}{3}\pi\:r^2\:h}$

$\sf{\leadsto 753.60=\dfrac{22*12*12*h}{7*3}}$

$\sf{\leadsto 22*12*12*h=753.60*7*3}$

$\sf{\leadsto 3168h=15825.6}$

$\sf{\leadsto h=5cm(approx)}$

$\sf\large{Hence,}$

$\sf\pink{\implies Height\:_{(cone)}=5cm}$

Answer 2

Answer:

Appropriate Question :-

• The volume of a cone is 753.60 cm³. The radius of its base is 12 cm, then the following activity to find the height of the cone.

Given :-

• The volume of a cone is 753.60 cm³.
• The radius of its base is 12 cm.

To Find :-

• What is the height of the cone.

Formula Used :

$\clubsuit$ Volume Of Cone Formula :

$\mapsto \sf\boxed{\bold{\pink{Volume\: Of\: Cone =\: \dfrac{1}{3}{\pi}r^2h}}}$

where,

• π = pie or 22/7
• r = Radius
• h = Height

Solution :-

Given :

$\bigstar\: \: \: \rm{\bold{Volume =\: 753.60\: cm^3}}$

$\bigstar\: \: \: \rm{\bold{Radius =\: 12\: cm}}$

According to the question by using the formula we get,

$\longrightarrow \sf \dfrac{1}{3} \times \dfrac{22}{7} \times (12)^2 \times h =\: 753.60$

$\longrightarrow \sf \dfrac{22}{21} \times 12 \times 12 \times h =\: \dfrac{75360}{100}$

$\longrightarrow \sf \dfrac{22}{21} \times 144 \times h =\: \dfrac{75360}{100}$

$\longrightarrow \sf h =\: \dfrac{75360 \times 21}{100 \times 22 \times 144}$

$\longrightarrow \sf h =\: \dfrac{158256\cancel{0}}{31680\cancel{0}}$

$\longrightarrow \sf h =\: \dfrac{\cancel{158256}}{\cancel{31680}}$

$\longrightarrow \sf h =\: 4.99\: cm$

$\longrightarrow \sf\bold{\red{h =\: 5\: cm(approx)}}$

$\therefore$ The height of the cone is 5 cm .