Classweekly

Volume of Spheres From the Radius

Written by Adi Ackerman, Head Teacher

"Volume of Spheres From the Radius" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.G.C.9. A 7th grader who is already steady on geometry can use it too, and an older student can use it as a short review.

Popular with 8th Grade teachers · Downloaded 435 times
Volume of Spheres From the Radius
Volume of Spheres From the Radius

8th grade math worksheet: find eight sphere volumes with four thirds pi r cubed, halving diameters like 16 m and 18 yd first. Answer key included. Part of our volume of cylinders, cones and spheres geometry collection. Aligned to Common Core standards.

How do I use this worksheet?

Hand out the formula reference first, then move from cylinders to cones to spheres. Use the mixed and missing dimension sheets for review before a test.

What students will practice

  • Students will apply V = ⁴⁄₃πr³ to spheres given by a radius or a diameter.
  • Students will halve a given diameter to find the radius before cubing it.
  • Students will use 3.14 for π and round sphere volumes to the nearest tenth.


Curriculum Links

Common Core State Standards

Geometry · 8th Grade

8.G.C.9

Standard: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

View all 8.G.C.9 worksheets →

Find this in the curriculum

Browse the grade, subject, and topic this belongs to.

FAQ

How do I use this volume of cylinders, cones and spheres worksheet?

⌄

Hand out the formula reference first, then move from cylinders to cones to spheres. Use the mixed and missing dimension sheets for review before a test.

What does this worksheet teach?

⌄

Find eight sphere volumes with four thirds pi r cubed, halving diameters like 16 m and 18 yd first. The directions on the page read: Use V = 4 3 πr³ to find each volume. If the diameter d is given, find r first. Use 3.14 for π and round to the nearest tenth. An answer key is included.

Can I use this volume of cylinders, cones and spheres worksheet for homeschool or classroom?

⌄

Yes, both. We made it for 8th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

What is the formula for the volume of a cone?

⌄

V = ⅓πr²h, one third of the volume of a cylinder with the same base and height. A cone with r = 3 in and h = 5 in has a volume of about 47.1 in³. Volume of Cones, Radius and Height Given has eight cones to practice.

How do you find the volume of a sphere?

⌄

Cube the radius, multiply by π and then by 4/3. If you are given the diameter, halve it first. Volume of Spheres From the Radius mixes radius and diameter problems.

How do you find a missing height from a cylinder's volume?

⌄

Substitute the volume and the radius into V = πr²h and solve for h. With r = 3 cm and V = 72π cm³, 9πh = 72π, so h = 8 cm. Find a Missing Dimension From the Volume practices this.

What is a composite solid?

⌄

It is a solid made of simpler parts, such as a cylinder with a cone on top. Find each part's volume and add them. Volume of Composite Solids With Curves has four such solids.

Ratings & Reviews

No reviews yet. Be the first to share what you think.

Reviews are for ClassWeekly members.

Make a Request

Spotted something to fix, or want a worksheet we don't have yet? Tell us and we'll make it.

Worksheet Details

Grade8th Grade
SubjectMath
TopicGeometry
Standard8.G.C.9
Pages1 page
DifficultyMedium

What is ClassWeekly?

ClassWeekly offers free worksheets and printable learning resources for kids, from preschool up. All worksheets are aligned to Common Core, NGSS, and C3 Framework standards and designed by educators. Become a member to access the full library and download unlimited PDFs.