Unit 4/5 and Parabolas
Volume
Surface Area
Finding the missing length
Sector Area/Arc Length
100

The value of x in the equation 

3/5=x/15

What is x = 9?

100

The volume of a sphere, in terms of pi, with a radius of 6in. 

What is 288pi in3?

100

This is the surface area of a rectangular prism with a length of 5cm, a width of 4cm, and a height of 9cm.

What is 202 cm2?

100

This is the side length of a cube with the volume 343 in3.

What is 7 in?

100

This is the arc length of a sector, in terms of pi, that has an angle of 60 degrees with the circle radius of 8in. 

What is 8/3pi in or 2.67pi in?

200

The value of x, rounded to the nearest hundredth in the equation

3.45/7.23=6.75/x

What is x = 14.15?

200

This is the volume of a rectangular prism with a length of 5cm, a width of 9cm, and a height of 10cm.

What is 450 cm3?

200

This is the surface area of a cylinder, in terms of pi, with a radius of 9in and a height of 10in.

What is 342pi in2?

200

This is the radius of a cylinder with a height of 9cm and with a volume of 144pi cm3.

What is 4 cm?

200

This is the area of a sector, in terms of pi, that has an angle of 60 degrees with the circle radius of 8in.

What is 32/3pi in2 or 10.67pi in2?

300

If a cylinder has the volume of 134 in ^3, this is the amount of water in ounces this cylinder can hold to the nearest hundredth. (1 in^3 = 0.554 oz)

What is 74.24 oz?

300

This is the volume of a cylinder, in terms of pi, that has a height of 6cm and a radius of 11cm.

What is 726pi cm3?

300

This is the surface area of a cone, in terms of pi, with a slant height of 6cm and a radius of 5cm.

What is 55pi cm2?

300

This is the slant height of a cone with a radius of 8in and a height of 6in.

What is 10in?

300

This is the radius of a circle with a sector that has an arc length of 63pi cm and an angle of 270 degrees.

What is 42 cm?

400

This is the vertex, axis of symmetry, and roots of the parabola. 

What is (1,-4): vertex, x = 1: AoS, and (-1,0) and (3,0): roots?

400

This is the volume of a cone, in terms of pi, that has a radius of 3in and a height of 8 in.

What is 24pi in3?

400

This is the surface area of a square pyramid with a slant height of 10in and a side of the base of 4in.

What is 96 in2?

400

This is the volume of the square pyramid. (Hint: Find the height of the pyramid first.)

What is 1,280 in3?

400

This is the arc length, in terms of pi, of a sector that has an area of 25pi/8 ft2 and an angle measure of 45 degrees.

What is 5pi/4 ft or 1.25pi ft?

500

The sine, cosine, and tangent of angle A in the triangle as a simplified fraction.

What is sin(A) = 8/17, cos(A) = 15/17, and tan(A) = 8/15?

500

This is the volume of a square pyramid, rounded to the hundredth of a cubic foot, with a height of 8ft and one of the base's side length of 7ft.

What is 130.67 ft3?

500

This is the surface area of a triangular prism, to the nearest hundredth.

What is 240 m2?

500

This is the surface area, in centimeters, of the cone in terms of pi.

What is 450pi cm2?

500

This is the area of a sector, in terms of pi, of a sector that has an arc length of 8pi cm and a radius of 8 cm.

What is 32pi cm2?

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