Select Page

 Word problems on Volume of Cones, Cylinders, and Spheres

Volume of Cone

Volume of cone =\frac{1}{3}\pi\times  r^{2} \times h, where \pi = 3.14 or  \frac{22}{7}

volume of cones cylinders and spheres

Example:

Find the volume of a cone with radius 2 cm and height 7 cm. (Round the answer to nearest hundredth place)

Solution: Volume of cone = \frac{1}{3}\pi\times r^{2}\timesh=\frac{1}{3}\pi\times2^{2}\times7=\frac{28}{3}\pi= 29.31 cm3

Volume of Cylinder

Volume of cylinder = \pi\times r^{2}\timesh, where \pi= 3.14 or \frac{22}{7} .

volume of cones cylinders and spheres

Example:

Find the volume of a cylinder with diameter 4 feet and height 7 feet. (Use  =\pi\frac{22}{7} )

Solution: Volume of cylinder =\pi\times r^{2}\timesh=\frac{22}{7}\times2^{2}\times7=22\times4= 88 ft3

Volume of Sphere

Volume of sphere =\frac{4}{3}\pi r^{3} , where \pi = 3.14 or\frac{22}{7} .

volume of cones cylinders and spheres

Example: Linda purchased a spherical aquarium of diameter 70 cm. What is the volume of aquarium? (Use \pi =\frac{22}{7} )

 

Volume of sphere =\frac{4}{3}\pi r^{3} = \frac{4}{3}\times\frac{22}{7}\times (35)^{3}=25666.67 cm3

CHECK POINT

  1. What is the capacity of a silo (silo is a large cylindrical vessel for storing bulk materials) with height 90 ft and diameter 30 ft? (Use \pi = 3.14)                                                                                                                                                
  2. Find the volume of an ice cream cone with radius 5 cm and a height of 12 cm. (Use \pi = 3.14)                          
  3. What is the volume of water tank with a diameter of 4 feet and height 6 ft (Use \pi = 3.14)
  4. What is the volume of cone with diameter of 2 mi and a height of 12 mi? (Use \pi = 3.14 and round the answer to nearest tenth)
  5. What is the volume of a spherical ball with radius 10 cm? (Use \pi = 3.14)

 

Answer key
  1. 63,585 ft3
  2. 314 cm3
  3. 75.36 ft3
  4. 12.6 mi3
  5. 3,140 cm3

 

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.

Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.

Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.

The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.

All tutoring sessions are recorded and made available for a month so you can review concepts taught.

Email or call our support team with any issues or questions – we are here for you 24X7.

Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!

Thousands have taken the eTutorWorld Advantage – what are you waiting for?

 

 

© 2019 eTutorWorld - Online Tutoring and Test Prep | All rights reserved