Free Printable WorksheetMathGrade 8Math Curriculum8.G.C.9

8.134 Volume of Cones Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.134 Volume of Cones. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.134 Volume of Cones - Which volume is correct for the cone described? (CCSS 8.G.C.9; CA 8.G.C.9; MA 8.G.C.9)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.134 Volume of Cones skill assessments:

Problem 1Difficulty: Hard
A cone has a base area of 64pi mm2 and a height of 2.1 cm. After converting to millimeters, which exact volume is correct?
A56pi mm3
B448pi mm3
C(64/3)pi mm3
D1344pi mm3
Solution & Explanation:Convert 2.1 cm to 21 mm. Then use V = (1/3)Bh with B = 64pi mm2: V = (1/3)(64pi)(21) = 448pi mm3.
Problem 2Difficulty: Hard
A cone's base area is the same as the area of a circle with radius 5 cm. The cone's height is the same as that circle's diameter. Which exact volume is correct?
A(25/3)pi cm3
B(50/3)pi cm3
C(250/3)pi cm3
D250pi cm3
Solution & Explanation:A circle with radius 5 cm has area 25pi cm2, so the cone's base area is 25pi cm2. The circle's diameter is 10 cm, so the cone's height is 10 cm. Then V = (1/3)(25pi)(10) = (250/3)pi cm3.
Problem 3Difficulty: Hard
Cone A has volume 50pi cm3. Cone B is similar to Cone A. Cone B's diameter is 15 cm, and Cone A's diameter is 10 cm. Which exact volume is correct for Cone B?
A(225/2)pi cm3
B(675/4)pi cm3
C75pi cm3
D(100/3)pi cm3
Solution & Explanation:The diameter ratio from Cone A to Cone B is 15/10 = 3/2, so the linear scale factor is 3/2. Volume scales by (3/2)3 = 27/8. Therefore Cone B's volume is 50pi x 27/8 = (675/4)pi cm3.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.G.C.9 (Primary standard selected for prompt fields: CCSS 8.G.C.9. Skill statement: Which volume is correct for the cone described? Associated standards listed with this skill: CCSS 8.G.C.9; CA 8.G.C.9; MA 8.G.C.9. Use this embedded wording as the best available supporting standard description for this workflow.).

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