Word problems on Volume of Cones, Cylinders, and Spheres

Grade 8 Math Worksheets

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

Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

Pricing for Personalized Online Tutoring

Tutoring Package Validity Grade (1-12), College
5 sessions 21 Days $114
1 session 21 Days $24
10 sessions 2 months $219
15 sessions 3 months $319
20 sessions 3 months $409
50 sessions 6 months $949
100 sessions 10 months $1849

IN THE NEWS

©2021 eTutorWorld           Terms of use            Privacy Policy            Site by Little Red Bird          

©2021 eTutorWorld
Terms of use
Privacy Policy
Site by Little Red Bird

MAKE USE OF THE FIRST SALE OF 2021

 

♦ Coupon JAN10 for a 10% Discount on all Tutoring Packs

♦ Coupon TEST20 for a 20% Discount on all SCAT, SSAT, CogAT & Enrichment Online Practice Packs

You have Successfully Subscribed!