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.​

Answer 1

Question:

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

Given:

• Volume of Cone= 753.60cm³
• Radius of Base= 12cm

To Find:

• Height of Cone.

Formula to be used:

$\sf{Volume\: of\: Cone=\large\frac{1}{3}\pi {r}^{2}h}$

Solution:

$\rightarrow\mathsf{Volume\: of\: Cone=\large\frac{1}{3}\pi {r}^{2}h}$

$\rightarrow\mathsf{753.60=\large\frac{1}{3}\times \frac{22}{7}\times {12}^{2}h}$

$\rightarrow\mathsf{753.60=\large\frac{22}{7}\times 48 h }$

$\rightarrow\mathsf{753.60=\large\frac{1056}{7}\times h}$

$\rightarrow\mathsf{753.60=150.85\times h}$

$\rightarrow\mathsf{\large\frac{753.60}{150.85}=h}$

$\rightarrow\mathsf{h=4.99cm}$

Hence, the height of Cone is 5cm (approx.)

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