section 10 – 6 volume of pyramids& cones

Section 10 – 6

Volume Of Pyramids& Cones

Objective:To find the volume of a Pyramid

To find the volume of a Cone

Volume of a Pyramid

Example 1 Finding Volume of a PyramidA) Find the volume of a square pyramid with base edges 12 in. and height 8 in.

B) Find the volume of a square pyramid with base edges 15 cm and height 22 cm.

Example 2 Finding Volume of a Pyramid (part 2)A) Find the volume of a square pyramid with

base edges 40 feet and slant height 25 feet.

B) Find the volume of a square pyramid with base edges 24 m and slant height 13 m.

C) Find the volume of the pyramid below.

Homework

Textbook Page 554; #1 – 10

Section 10 – 6

Continued…Objective:

To find the volume of a cone

Volume of Cones

Example 3 Finding Volume of a Cone

A) Find the volume of the cone below. Give your answer in terms of π and rounded to the nearest cubic foot.

B) Find the volume of cone below. Leave your answer in terms of π and rounded to the nearest cubic meter.

Example 4 Finding Volume of a Cone (Part 2)

A) The covering on a teepee rests on poles that come together like concurrent lines. The resulting structure approximates a cone. If the teepee pictured is 12 feet high with a base diameter of 14 feet, estimate its volume.

B) An ice cream cone is 7 cm tall and 4 cm in diameter. About how much ice cream can fit entirely inside the cone? Find the volume to the nearest whole number.

Example 5 Finding Missing

DimensionsA) Find the value of the variable. Leave answers in simplest radical form.

B) Find the value of the variable. Leave answers in simplest radical form.

C) Find the value of the variable. Leave answers in simplest radical form.

HOMEWORK:10 – 6 Ditto;