Volume and Surface Area of Cones and Spheres - Geometry Worksheet - 8.G.C.9

Sep 18, 2026

Geometry worksheet focused on calculating volume, surface area, curved surface area, total surface area, radius, and other cone-and-sphere measurements. Section A provides multiple prompts where measurements must be found to required precision. Section B converts sector information into right circular cones, requiring students to determine circumference, height, radius, cone angle, curved and total surface areas, and volume. An extension problem estimates paint needed for a square-based pyramid-and-sphere trophy using coverage per area.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Section A

Volume, surface area, radius, curved surface area, total surface area

Section B

Right circular cones from sectors: curved area, radius, circumference, height, total area, volume

Extension

Paint coverage for a pyramid-and-sphere trophy

FAQs

What types of measurements are calculated in Section A?

Students calculate volume, surface area, curved surface area, total surface area, and radii of cones and spheres, as specified by each question.

How does Section B change the problem setup?

Section B starts from sectors formed into right circular cones and asks for requested measurements, including cone radius, height, base circumference, curved surface area, total surface area (including the base), and volume.

What is the goal of the extension question?

The extension asks for the number of centiliters of paint required to paint a trophy constructed from a square-based pyramid and a sphere, using a given paint coverage rate and accounting for two coats.

Sep 18, 2026

Uploaded by Anna Hans