Download Geometry Assignment #79 Cones For 1 – 4: = slant height, = height

For 1 – 4: hs = slant height, hc = height of the cone, r = radius.
a) Find the lateral area,
b) Find the surface area
c) Find the volume.
Express each measure to the nearest 10th.
Geometry
Assignment #79
Cones
1. r = 3.00 cm, hs = 5.00 cm, hc = 4.00 cm
2. r = 5.00 cm, hs = 13.0 cm, hc = 12.0 cm
3. r = 24 cm, hs = 25 cm, hc = 7.0 cm
4. r = 8.00 cm, hs = 10.0 cm, hc = 6.00 cm
5. The volume of a cone is 127 in³ and the height of the cone is 6.0 in.
What is the radius of the base to the nearest 10th?
6. The volume of a cone is 56 cm³ and the area of the base is 48 cm².
What is the height of the cone to the nearest 10th?
7. The area of the base of a cone is equal to the area of the base of a cylinder, and their
volumes are equal. If the height of the cylinder is 2 ft, what is the height of the cone?
8. Road salt is stored in a warehouse for the winter. The pile of salt is in the shape of a cone
whose height is 10 ft and has a diameter of 12 ft. How many cubic feet of salt is in the pile?
R1. Which type of transformation is ( x, y ) → ( x + 2, y − 2 ) ?
(1) dilation
(3) rotation
(2) reflection
(4) translation
R2. What is the length of the altitude of an equilateral triangle whose side has a length of 8?
R3. The drawing for a right triangular roof truss,
represented by ΔABC, is shown in the accompanying
diagram. If ∠ABC is a right angle, altitude BD = 4
meters, and DC is 6 meters longer than AD , find the
length of base AC , in meters.
R4. Given: T(-1,1), R(3,4), A(7,2), and P(-1,-4).
a) Prove that TRAP is a trapezoid.
b) Prove that TRAP is not an isosceles trapezoid.
Island Trees Math Department
R5. What is the equation of the line that passes through the point (– 2, 5) and is perpendicular
1
to the line whose equation is y = x + 5 ?
2
(1) y = 2x + 1
(3) y = – 2x + 1
(2) y = 2x + 9
(4) y = – 2x – 9
R6. Write the equation of the circle shown:
Needs answers!
Island Trees Math Department