If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.

Question

cdquestions Admin · Accepted Answer

Height (h) of cone = 9 cm Let the radius of the cone be r. Volume of the cone = 48 $\pi$  cm³ $\frac{1}{3}\pi$ r²h = 48π cm³ r² = $\frac{ 48 \ cm^3 × 3 }{ h}$ r² =  $\frac{48\ cm^3 × 3 }{ 9\ cm}$ r² = 16 cm² r =  $\sqrt{16}$  cm² r = 4 cm Diameter of base d = 2 × radius(r) = 2 × 4 cm = 8 cm

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.

Solution and Explanation

Top CBSE Class IX Mathematics Questions

Top CBSE Class IX Questions