a spherical fishtank has radius of 25 cm. The tank is filled with water with a depth of 20 cm. By using integral find the volume of the water inside the tank.

  1. 👍 0
  2. 👎 0
  3. 👁 234
  1. V=π∫ͪₒ(2Rx-x²)dx=π(Rx²- x³/3)|ͪ ₒ=π(Rh²- h³/3)= πh²(R-h/3)=....

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus (please help. URGENT!)

    A hemispherical tank with a radius of 10m is filled from an input pipe at a rate of 3m^3/min. How fast is the water level rising when the water level is 5m from the bottom of the tank? (hint: the volume of the cap of thickness of

    asked by Linda on April 15, 2015
  2. physics

    A water tank is filled to a depth of 10 m and the tank is 20 m above ground. The water pressure at ground level in a hose 2 cm in diameter is closest to: A) 3.9 × 105 N/m2 B) 2.0 × 104 N/m2 C) 9.2 N/m2 D) The cross-sectional

    asked by Georgey on March 30, 2014
  3. Physics

    A storage tank of negligible mass and 30m high is filled with gasoline. Please calculate the following. Use density values found in the book. a) The gauge pressure and absolute pressure at the bottom of the tank. b) The force that

    asked by Kati on December 9, 2015
  4. Re post water in tanks problem

    A./_\ B.\_/ C.|_| The three tanks shown above are filled with water to an equal depth. All the tanks have an equal height. Tank A has the greatest surface area at the bottom, tank B the least and tank C the middle. (Select T-True,

    asked by Sasha on March 5, 2012
  5. Maths

    A hemispherical tank of diameter 10cm is filled by water issuing from a pipe of radius 20cm at 2m per second . Calculate , correct to three significant figures in minutes it takes to fill the tank

    asked by Anonymous on April 17, 2020
  1. calculus2

    A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s^2 for g. Use 1000 kg/m^3 as the density of water. Assume r = 9 m and h = 3 m.) The tank is a spherical shape with r as the

    asked by A on June 28, 2018
  2. Maths urgent help needed!

    A rectangular tank measures 60cm by 40cm by 30cm. It is half filled with water. Water is added to the tank at a rate of 13litres per minute and drained out at 9litres per minute. Find the volume of water in the tank after 7

    asked by joi on October 23, 2011

    Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The

    asked by Anonymous on April 25, 2016
  4. maths

    A spherical tank of diameter 3m is filled with water from a pipe of radius 30cm at 0.2m/s.calculate an corect to 3s.f the time in minute it take to fill the tank.thankyou godbless

    asked by anthony on July 28, 2015
  5. maths

    A water tank has the shape of a rectangular prism of base 50 cm2. This tank is being filled at the rate of 12 liters per minutes. Find the rate at which the height of the water in the water tank increases; express your answer in

    asked by LARA on February 3, 2014
  6. numerical methods

    Consider a spherical storage tank containing oil. The tank has a diameter of 8 ft. You are asked to calculate the height h to which a dipstick 10 ft long would be wet with oil when immersed in the tank when it contains 6 3 ft of

    asked by aira on April 23, 2015

You can view more similar questions or ask a new question.