 Volumes of Cones

In this worksheet, students calculate the volume of cones, given their height and base diameter. Key stage:  KS 3

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Use 3D Shape Knowledge to Solve Problems

Difficulty level:   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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 205000
EDDIE SAYS
Vol = π × 62.5² × 50 ÷ 3
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