Question

find the height of cone if its volume is 550cm3 and its diameter is 10cm​

Answer 1

$\underline\red{\bold{✓EXPLANATION}}$

$\underline\red{\bold{✓GIVEN}}$

• The volume of a cone is 550 cm3 and its diameter is 10 cm

$\underline\red{\bold{✓FORMULA}}$

• The volume of a cone =

$\frac{1}{3} \pi \: {r}^{2} h$

where,

r = radius of cone

h = height of cone

$\underline\red{\bold{✓SOLUTION}}$

• The diameter of cone = 10 cm

so the radius (r) = 10/2 = 5cm

• The volume of cone =

$\frac{1}{3} \pi \: {r}^{2}h = 550 \\ \implies \: \frac{1}{3} \times \frac{22}{7} \: {5}^{2} \times h = 550 \\ \implies \: h = \frac{\cancel5\cancel5\cancel0 \times 3 \times 7}{22 \times \cancel2\cancel5} \\ \implies \: h = \frac{\cancel2\cancel2 \times 3 \times 7}{\cancel2\cancel2} \\ \implies \: h = 21 \: cm$

hence The height of cone = 21 cm

$\blue{\texttt{✓YOUR ANSWERE}}$

hence The height of cone = 21 cm