Home
Class 10
MATHS
A solid is hemispherical at the botto...

A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is `1\ :3` (b) `1\ :sqrt(3)` (c) `1\ :1` (d) `sqrt(3)\ :1`

A

`1:3`

B

`3:1`

C

`1:sqrt(3)`

D

`sqrt(3):1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A solid is hemispherical at the bottom and conical (of same radius) above it . If the surface areas of the two parts are equal then the ratio of its radius and the slant height of the conical part is

A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of radius and height of its conical part is एक ठोस तल पर अर्द्ध गोलाकार है और ऊपर शंक्वाकार। यदि दोनों भागों के पृष्ठ क्षेत्रफल बराबर है, जो उसके शंक्वाकार भाग की त्रिज्या और ऊँचाई का अनुपात है-

A solid is in the shape of a cone mounted on a hemisphere of same base readius. If the curved surface areas of the hemisphere part and the conical part are equal then find the ratio of the radius and the height of the conical part.

The area of a square is equal to the area of a circle.The ratio between the side of the square and the radius of the circle is (a) sqrt(pi):1 (b) 1:sqrt(pi)(c)1:pi(d)pi:1

A water tank open at the top is hemispherical at the bottom and cylindrical above it.If radius of the hemisphere is 12m and the total capacity of the tank is 3312 pi backslash m^(3), then the ratio of the surface areas of the hemispherical and the cylindrical portions is (a) 1:1 (b) 3:5 (c) 4:5 (d) 6:5

A tent of cloth is cylindrical up to 1 m height and conical above it of the same radius of base . If the diameter of tent is 6 m and the slant height of conical part is 5 m, find the cloth required to make this tent

If the sides of a triangle are in the ratio 1 : sqrt(3) : 2, then its angles are in the ratio

The volume of two cylinders are equal and their heights are in the ratio 1:3. Then, the ratio of their radius are

If a region bounded by a circle C is to be divided into three regions of equal areas by drawing into circles concentric with C , then the ratio of the radii of the two circles must be (a) 1 : 3 (b) 1 :sqrt(3) (c) 1 : 2 (d) 1 :sqrt(2)

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is sqrt(3):(2+sqrt(3))( b) 1:61:2+sqrt(3)(d)2:3