Question

the base area of cone is 38.5cm Its volume is 77cm find its height​

Answer 1

Step-by-step explanation:

Base area= $\pi r^{2}$

38.5= $\frac{22}{7}r^{2}$

$r^{2}= \frac{38.5*7}{22}$

r= $\sqrt[]{12.25}$

r= 3.5cm

Volume of the cone= $\frac{1}{3}\pi r^{2}h$

77= $\frac{1}{3}*\frac{22}{7}*3.5*3.5*h$

h= $\frac{77*3}{22*0.5*3.5}$

h= 6cm

Therefore the height of the cone is 6cm.