If the volume of a right circular cone is V cubic unit, the base area is A sq. unit and the height is H unit, then find the value of \frac{AH}{3V}
WBBSE
Class X
Mathematics
Right Circular Cone
02 Mark
2023
V = 1\over3πr²H
or, V = 1\over3AH (∵ A = πr²)
or, 3 = \text{AH}\over \text{V}
or, \text{AH}\over \text{3V} = 1
Related Questions
More WBBSE Easy level questions
1/12
Q.
Find the total surface area of a cone whose diameter of the base is 20...
A.
Diameter = 20 cm ⇒ radius (r) = 10 cm Slant height...
Q.
If x be the volume, y be the area of the base and z be...
A.
False Explanation Volume of cone = × (base area) × (height) So,...
Q.
If V be the volume, R be the radius of the base and H be...
A.
22 Explanation : There are 9 numbers, so the median is the...
Q.
If V be the volume, R be the radius of the base and H be...
A.
Explanation : Volume (V) = × π × R² × H ⇒...
Q.
State True or False: The height, radius, and slant height of a right circular cone...
A.
True Explanation: In a right circular cone: l² = r² + h²...
Q.
The height of a right circular cone is twice the radius of the base. If...
A.
Let, radius of cylinder = r and the height of cylinder =...
Q.
Curved surface area of a right circular cone is 154√2 sq cm and radius of...
A.
Curved Surface Area (CSA) = π r l or, 154√2 = π...
Q.
In a right circular conical tent, 11 persons can stay. For each person, 4 sq....
A.
Base area needed for 11 person = 11 × 4 = 44...
Q.
Find the mean proportion of xy² and xz²
A.
Mean proportion of two numbers a and b is given by: Substituting...
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....
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...
Q.
If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.
A.
sin (θ + 30°) = cos 15° or, sin (θ + 30°)...