Question
The diameter of the base of a cylindrical drum is 28 cm
and its height is 15 cm. The drum is full of water and the water from the drum is transferred to ‘n’ cuboidal tanks having dimension 10.5 cm × 10 cm × 11 cm, each. Find the value of ‘n’.Solution
Radius of the base of the cylindrical drum = 28/2 = 14 cm According to the question, Volume of cylindrical drum = volume of ‘n’ cuboidal tanks Therefore, (22/7) × 14 × 14 × 15 = n × 10.5 × 10 × 11 Or, n = 9240/1155 = 8
If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.
- If 2cos²A + 3sin²A = 13/5, then find the value of (sec²A - 1)
If cosec (2A + B) = 2 and cosec (A + B) = 1, find the value of (3A – B).
If cos4B = sin(B - 10°), then find the measure of 'B'.
If cot5A = tan(3A-14˚), find the value of A? Given that 5A and 3A-14˚ are acute angles.
If tan A = 1/√3, then what will be the value of sin⁴ A?
Evaluate the following:
sin 50° × cos 20° − sin 20° × cos 50°
If tan A = 1 and tan B = √ 3, what is the value of cos A . cos B - sin A . sin B?
- If 4cos²A + 5sin²A = 4.5, then find the value of (sec²A - 1)
If (2sin A + cos A) = 3sin A, then find the value of cot A.