Question

EXERCISE 1. The base area of a cone is 38.5 cm². Its volume is 77 cm°. Find its height. in 7 m Find its height.​

Answer 1

Answer:

Given :-

• The base area of a cone is 38.5 cm².
• The volume is 77 cm³.

To Find :-

• What is the height of cone.

Formula Used :-

$\clubsuit$ Volume Of Cone Formula :

$\bigstar \: \: \: \sf\boxed{\bold{\pink{Volume_{(Cone)} =\: \dfrac{1}{3} {\pi}r^2h}}}\: \: \: \bigstar$

where,

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

Solution :-

Given :

• Base area of a cone = 38.5 cm²
• Volume = 77 cm³

According to the question by using the formula we get,

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} {\pi}r^2h$

$\implies \sf 77 =\: \dfrac{1}{3} \times 38.5 \times h$

$\implies \sf 77 =\: \dfrac{1}{3} \times 38.5h$

$\implies \sf \dfrac{77 \times 3}{38.5} =\: h$

$\implies \sf \dfrac{231}{38.5} =\: h$

$\implies \sf 6 =\: h$

$\implies \sf\bold{\red{h =\: 6\: cm}}$

$\therefore$ The height of a cone is 6 cm .