Pythagorean Theorem
The type of triangle Pythagorean Theorem can be used for.
Right angle triangle
What shape does a piece of paper need to be so that you can roll it into a cone?
i) rectangle
ii) full circle
iii) sector of a circle
iv) triangle
iii) sector of a circle
The formula for SA of cylinder
SA=2(pi)r2+2(pi)rh
Find the surface area of a sphere with radius 14 cm
SA=784(pi) or 2461.76 cm2
Formula for the SA of a sphere
SA=4(pi)r2
Which side is 'c' in Pythagorean theorem formula:
i) any side
ii) longest side, opposite the right angle
iii) longest side, adjacent to the right angle
ii) longest side, opposite the right angle
Formula for surface area of a cone
SA=(pi)rs+(pi)r2
Surface area of a cylinder with r=1cm and h=4cm
SA=10(pi) or 31.4cm2
Find the surface area of a sphere with diameter 20 cm
SA=400(pi) or 1256 cm2
The Pythagorean triples can be found by using the following formula for the sides:
side 1: m2-n2
side 2: 2mn
Side 3: m2+n2
If m=5 and n=4, what is the Pythagorean triple?9, 40, 41
In a right angle triangle, the sides are 7 and 12 units long. What is the length of the hypotenuse?
13.89
Slant height of a cone is 4cm and radius is 3 cm. Find the surface area of the cone.
21(pi) or 65.94 cm2
Surface area of a cylinder with d=4m and h=5m
SA=28(pi) or 87.92 m2
Circumference of a baseball is 84 cm. Find the surface area
(HINT: Circumference=2(pi)r or (pi)d and SA=4(pi)r2
SA=2256.4 cm2
A can of soup has diameter 3cm and height 5cm. Find the area of the label.
47.1 cm2
In a right angle triangle, one side is 4 and the hypotenuse is 5 units long. What is the length of the 3rd side?
4 units
Slant height of a cone is 5 cm and diameter is 4 cm. Find the surface area of the cone.
14(pi) or 43.96 cm2
Surface area of a cylinder with r=3 cm and h=2.5 cm
SA=33(pi) or 103.62 cm2
Circumference of a basketball is 104 cm. Find the surface area
(HINT: Circumference=2(pi)r or (pi)d and SA=4(pi)r2
SA=3444.59 cm2
The Pythagorean triples can be found by using the following formula for the sides:
side 1: m2-n2
side 2: 2mn
Side 3: m2+n2
If m=7 and n=5, what is the Pythagorean triple?
24, 70, 74
The Pythagorean triples can be found by using the following formula for the sides:
side 1: m2-n2
side 2: 2mn
What is the formula for side 3?
Side 3: m2+n2
Height of a cone is 12 cm and radius is 5 cm. Find the surface area of the cone.
use Pyth theorem to find slant height (13cm)
then find SA.
SA=90(pi) or 282.6 cm2
A cylinder has a surface area of 502.4 cm2. Area of the bases is 78.5 cm2.
What is the height of the cylinder?
Height=11 cm
Find the surface area of a sphere with a diameter of 28 cm.
SA=2461.76 cm2
Surface area of a cone with a height of 15cm and radius of 8cm.
SA=200(pi) or 628cm2