Question
Height of a cylindrical vessel is equal to side of a
square, whose area is 324cm². Radius of cylindrical vessel is equal to average of radius of a sphere and hemisphere. If ratio between the radius of hemisphere and that of the sphere is 2:1 and difference between their total surface area is 1232 cm², then find volume of cylindrical vessel?Solution
Given, height of cylindrical vessel = side of square   a² = 324cm²  a = 18 cm   Let radius of hemisphere is 2r cm and sphere is r cm.    According to question, 3π(2r)² – 4πr² = 1232 cm² 12r² – 4r² = 392   r² = 49 or r = 7   Radius of cylindrical vessel = (14 + 7)/2 = 10.5 cm   Volume of cylindrical vessel = (22/7) × 10.5 × 10.5 × 18 = 6237cm³
Fill in the blank/s with suitable Word/s:
The politician promised to _________ the problem during his campaign.
In the evening, we ___________ the rains to visit the market.Â
In each of the following sentences, there is a blank space. Below each such sentence, there are five options with one word each. Fill up the blank with...
Although it was a beautiful day with a clear blue sky, the runner feeling (A) / tired and sore, yet with the determination to reach the finish line, de...
Select the most appropriate option to fill in the blank.
Credit cared ----------has increased in recent years.
I. _____________ holes through the tiles for the masonry pins.
II. The new recruits will have a ___________ next morning.
III. sprinkle...
Corals are colonial animals that resemble humans in one respect: they’re great engineers. Corals construct reefs by excreting calcium carbonate. H...
____ man standing in that corner is a police man in plain clothes.
"I'm not sure if she's telling the truth, but I'll ___________."
The mode of _____ food into the body ______ in different organisms.
Relevant for Exams:
