math help please on cones?

Question

2: An ice cream scoop is in the form of a cone 3 inches in diameter and 3 inches deep. How many cubic inches of ice cream does it hold?
7 1/14 cu. in
8 1/7 cu. in
6 1/21 cu. in
7 1/2 cu. in


3: A conical funnel is made of tin. The diameter is 5 inches and its slant height is 7 inches. If the tin used in making the funnel is 1.1 times the lateral area, how much tin was used?
50.5 sq. in
55 sq. in
60.5 sq. in
65 sq. in


4: An ice cream cone is 1 3/4 inches in diameter and has a slant height of 4 inches. How many square inches of pastry are there in 500 such cones?
5500 sq. in
2555 sq. in
4505 sq. in
5025 sq. in


5: A steel paperweight in the form of a cone is 3 inches high and has a radius of 1 1/4 inches. Find its wieght if 1 cubic inch weighs 4.5 ounces.
22 oz.
26 oz.
19 oz.
15 oz.

Answer 1

Volume of a cone V = (pi)r^2h/3
Surface area of a cone A = (pi)(r)(l), where l is the slant height of the cone

These are the equations you need to use to solve all of these.

2. V = pi(3/2)^2(3)/3, where r = d/2 = 3/2 and h = 3

3. A = (1.1)(pi)(5/2)(7), where r = d/2 = 5/2 and l = 7

4. A = (500)(pi)(7/8)(4), where r = d/2 = [7/4]/2 and l = 4 and total surface area = (500)(area of 1 cone)

5. W = (4.5)(pi)(5/4)^2(3)/3, where r = d/2 = [5/4]/2 and h = 3 and total weight = (4.5)(volume of paperweight)

Answer 2

2)V=pi*(3)^2*3/ 12 =27pi/12= 9pi/4 = aprox 7 1/14 cubic inches

5) V = pi (5/4)^2*3/3 = pi*25/16 cubic inches
Its weight is pi*25/16*4.5= 22 oz
You must do the others