Question

# The radius and height of a right circular cone are in the ratio of 5:12. If its volume is 314cm3 its slant height is:

A
26cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
19.5cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
13cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
none
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is D 13cmGiven, the ratio of radius and height of circular cone =5:12.Let the radius and height of the cone be 5k and 12k, respectively.Also, given volume of cone =314cm3.We know, volume of cone V=13πr2h=13×3.14×(5k)2×12k=314⇒3.14×25×4k3=314⇒3.14×100k3=314⇒314k3=314⇒k=1.∴r=5cm and h=12cm. Slant height l=√r2+h2 =√52+122 =√25+144 =√169 =13 cm.Hence, the slant height of the cone are 13cmTherefore, option C is correct.

Suggest Corrections
0
Join BYJU'S Learning Program
Select...
Related Videos
Volume of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...