If V be the volume, R be the radius of the base and H be the height of a right circular cone, then H = ____.
WBBSE
Class X
Mathematics
Right Circular Cone
01 Mark
2024
3\text{V} \over \text{πR²}
Explanation :
Volume (V) = 1\over3 × π × R² × H
⇒ πR²H = 3V
∴ H = 3\text{V} \over \text{πR²}
Related Questions
More WBBSE Easy level questions
1/12
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 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.
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.
If the volume of a right circular cone is V cubic unit, the base area...
A.
V = πr²H or, V = AH (∵ A = πr²) or,...
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.
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.
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.
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.
Write the magnitude of each angle of a cyclic parallelogram.
A.
In a cyclic parallelogram, the opposite angles are supplementary because it is...
Q.
The angle in the segment of a circle which is greater than a semicircle is...
A.
The angle in the segment of a circle which is greater than...
Q.
Express 22°30′ in radians
A.
22°30′ = 22.5° Formula: radians = degrees × 22.5° = 22.5 ×...
Q.
Find the number of direct common tangents of two circles which touch each other externally.
A.
Two circles touching externally have 2 direct common tangents. Explanation: Direct (external)...