1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# What will be the ratio of the total surface area of the cone to the total surface area of the sphere if, slant height of the cone is equal to the diameter of the base of the cone and radius of the cone is equal to radius of the sphere?

A
3:4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4:3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3:2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2:3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A 3:4Given that, Slant height of cone = Diameter of the cone ⇒l=2×r We know that, Total surface area of sphere =4πr2 Total surface area of cone =πrl+πr2 Now, =TSA of coneTSA of sphere =πrl+πr24πr2 =3πr24πr2 [ using l=2r] =34 =3:4

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Surface Area of Solids
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program