Easy
940 likes
Question
Find the ratio of the volumes of a solid right circular cylinder and a solid right circular cone of equal radii and equal heights.
WBBSE
Class X
Mathematics
Real Life Problems Related To Different Solid Object
02 Mark
2023
Answer
Volume of circular cylinder = πr²h
or, Volume of cone = 1\over 3πr²h
Ratio = Vcylinder : Vcone
= πr²h : 1\over 3πr²h
= 1 : 1\over 3 = 3 : 1
Related Questions
More WBBSE Easy level questions
1/12
Easy
502
Q.
The shape of a pencil with one end sharpened is the combination of a and...
A.
Cone and Cylinder
View Question
Moderate
613
Q.
The radius of a right circular cylinder and a hemisphere is equal and their volumes...
A.
(b) 50% Explanation: Volume of a cylinder = πr²h Volume of a...
View Question
Moderate
648
Q.
The lower part of an ice-cream is conical and upper part is hemispheric with same...
A.
Cone height (h) = 9 cm, base radius (r) = 2.5 cm...
View Question
Moderate
747
Q.
If the height and base area of a solid hemisphere and a solid cylinder are...
A.
(b) 1 : 2 Explanation: Let radius = r. For hemisphere: height...
View Question
Easy
542
Q.
Find the mean proportion of xy² and xz²
A.
Mean proportion of two numbers a and b is given by: Substituting...
View Question
Easy
857
Q.
The ratio of portion of profit of two friends is 1/2 : 1/3. Find the...
A.
Let the capital investments of the two friends be C₁ and C₂....
View Question
Easy
958
Q.
If x be the number of edges of a parallelepiped and y be the number...
A.
A parallelepiped has 12 edges and 6 faces so x + y...
View Question
Easy
871
Q.
If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.
A.
sin (θ + 30°) = cos 15° or, sin (θ + 30°)...
View Question
Easy
566
Q.
From an external point P of a circle with centre O, two tangents PS and...
A.
In triangle PST, since PS = PT, the base angles are equal....
View Question
Easy
953
Q.
Perimeters of two similar triangles are 27 cm and 16 cm. If the length of...
A.
For similar triangles, the ratio of corresponding sides is equal to the...
View Question
Easy
803
Q.
If x ∝ √y and y = a², when x = 2a then find x²...
A.
Since x is proportional to √y, let x = k√y. Given y...
View Question
Easy
777
Q.
If x/2 = y/3 = z/4 then find the value of (3x + 4y +...
A.
Let the common ratio be k. Then, x = 2k, y =...
View Question