Find the volume of water left in the cylindrical tub, Mathematics

Assignment Help:

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is placed in a cylindrical tub, full of water, in such a way that the whole solid is submerged in water. If the radius of the cylindrical tub is 5 cm and its height is 10.5 cm, find the volume of water left in the cylindrical tub (use π = 22/7) = (Ans: 683.83 cm³)

Ans:    No. of solid = vol of cone + vol of hemisphere

= 1/3 π r2 h + 2/3 π r3

= 1/3 π r2 [h +2 r]

On substituting we get,

= 141.17 cm3

vol of cylinder = π r2 h

On substituting we get,

= 825 cm3

volume of H2O left in the cylinder = 825 - 141.17

= 683.83 cm3


Related Discussions:- Find the volume of water left in the cylindrical tub

Fractions, Rider dribbles the ball 1/3 of the basketball court on the first...

Rider dribbles the ball 1/3 of the basketball court on the first day of practice. Each day after that he dribbles 1/3 of the way more than he did the day before. Draw a number lin

Pre Calculus, 5 2 ----- - ----- x-1 x+1 ------------------...

5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1

Math, is this free for LIFE that means forever never ever going to pay

is this free for LIFE that means forever never ever going to pay

Activity on Node, schedulling problem with variability in task times

schedulling problem with variability in task times

Example of integrals involving root - integration technique, Evaluate the f...

Evaluate the following integral. ∫ (x+2 / 3√(x-3)) (dx) Solution Occasionally while faced with an integral that consists of a root we can make use of the following subs

Math problem, integral from 0 to pi of dx/(a+b*cos(x)

integral from 0 to pi of dx/(a+b*cos(x)

Equivalent Fractions and Decimals, write each fraction as a decimal .round ...

write each fraction as a decimal .round to the nearest hundredth if necessary (1-4) (14-21)

Solving problem with linear function, An electric utility company determine...

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd