Question

find thr volume of cone with height is 9.2 cm and radius is 5.5 cm. Put the value in the formula of area of triangle. ​

Answer 1

Given :

• Height of cone = 9.2 cm
• Radius of cone = 5.5 cm

To find :

• the volume of the cone
• area of the triangle using the same values. ​

Solution :

⇒ Let's find the Volume of the Cone.

$\rightarrow \sf Volume \: of \: Cone = \pi r^2 \dfrac{h}{3}$

$\sf = 3.14 \times 5.5^2 \times \dfrac{9.2}{3}$

$\sf = 3.14 \times 30.25 \times \dfrac{9.2}{3}$

$\sf = 94.98500 \times \dfrac{9.2}{3}$

$\sf = \dfrac{94.98500 \times 9.2}{3}$

$\sf = \dfrac{873.86200}{3}$

$\sf = 291.28 cm^3$

• Therefore, the volume of the is 291.28 cm³.

⇒ Now, let's find the area of the Triangle.

• Here, let's take the height as 9.2 cm and the base as 5.5 cm.

→ Area of Triangle = 1/2 × b × h

= 1/2 × 5.5 × 9.2

= 1/2 × 50.6

= 1 × 50.6/2

= 50.6/2

= 25.3 cm²

• Therefore, the area of the triangle is 25.3 cm².