Week 3 Review

Exponents

100

x^{4 .}  x³

x⁷

200

m⁸ / m³

m⁵

300

(a²b³) ²

a⁴ b⁶

400

y⁹/y^2 . y⁴

y¹¹

500

(3x⁴y²)²  /x³y

9x⁵y³

PythagoreanThereom

100

A right triangle has legs of 3 cm and 4 cm.

Find the hypotenuse.

c = 5

200

A right triangle has legs of 5 cm and 12 cm.

Find the hypotenuse.

c = 13

300

The hypotenuse of a right triangle is 13 cm and one leg is 5 cm.

Find the missing leg.

b = 12

400

The hypotenuse of a right triangle is 25 cm and one leg is 7 cm.

Find the missing leg.

b = 24

500

A ladder leans against a wall. The ladder is 17 ft long and the bottom of the ladder is 8 ft from the wall.

How high up the wall does the ladder reach?

h = 15

Volume of Spheres, Cones , & Cylinders

100

A cylinder has:

• Radius = 3 cm
• Height = 8 cm

Find the volume. Use π≈3.14\pi \approx 3.14π≈3.14.

V=226.08

200

A cone has:

• Radius = 4 cm
• Height = 9 cm

Find the volume. Use π≈3.14\pi

V=150.72

300

A sphere has a radius of 6 cm.

Find the volume. Use π≈3.14\pi \approx 3.14π≈3.14.

V=904.32

400

A cylinder has:

• Radius = 2 cm
• Height = 10 cm

A hemisphere is attached to the top.

Find the total volume.

125.6+16.75=142.35

500

A cone sits on top of a cylinder.

Cylinder:

• Radius = 5 cm
• Height = 12 cm

Cone:

• Radius = 5 cm
• Height = 9 cm

Find the total volume.

942+235.5=1177.5