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Volumes of Cones

In this worksheet, students calculate the volume of cones, given their height and base diameter.

'Volumes of Cones' worksheet

Key stage:  KS 3

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

The formula for the volume of a cone, V, in terms of its base radius, r, is:

This is similar to the formula for the volume of a cylinder, but remember to divide by 3.

 

Example

Calculate the volume of the cone shown below in cm3 to 3 significant figures.

 

 

 

Answer

Diameter d = 8 cm

Radius r = 8 ÷ 2 = 4 cm

Height h = 10 cm

Volume = 1/3πr2h = π x 42 x 10 ÷ 3 = 167.55.... ≈ 168 cm3 (3 s.f.)

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

 

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

 

  • Question 1

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

CORRECT ANSWER
94.2
EDDIE SAYS
Vol = π × 3² × 10 ÷ 3
  • Question 2

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
104
EDDIE SAYS
Vol = π × 3² × 11 ÷ 3
  • Question 3

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

CORRECT ANSWER
72.0
EDDIE SAYS
Vol = π × 2.5² × 11 ÷ 3
  • Question 4

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

 

CORRECT ANSWER
605
EDDIE SAYS
Vol = π × 8.5² × 8 ÷ 3
  • Question 5

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
85.1
EDDIE SAYS
Vol = π × 2.5² × 13 ÷ 3
  • Question 6

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
128
EDDIE SAYS
Vol = π × 3.5² × 10 ÷ 3
  • Question 7

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
37.7
EDDIE SAYS
Vol = π × 2² × 9 ÷ 3
  • Question 8

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
18.8
EDDIE SAYS
Vol = π × 1.5² × 8 ÷ 3
  • Question 9

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
757
EDDIE SAYS
Vol = π × 8.5² × 10 ÷ 3
  • Question 10

Calculate the volume of the cone shown below in cm3 to 3 sig. figs.

Just write the number.

 

 

CORRECT ANSWER
205000
EDDIE SAYS
Vol = π × 62.5² × 50 ÷ 3
---- OR ----

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