Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
__
<h3>a) volume</h3>
The volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
__
<h3>b) area</h3>
The lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
Answer:
The answer is B, 384. Cu cm.
Step-by-step explanation:
This is because you can split this figure into two separate rectangles. The first one has a depth of 2 width of 14 and length of 12 so you multiply L x W which is equal to 168. Then since you want the depth also you multiply 168 x 2 = 336. Next you solve for the last rectangle and add them together. So for this the equation is 2(6 x 4) = 48. 336 + 48 =384.
Hope this helps.
Answer:
D
Step-by-step explanation:
D is 2x bigger than A, therefore is a scaled copy.
Answer: 180.
Step-by-step explanation:
Appetizers = 5 types
drinks = 3 types
Sandwiches = 4 types.
Solution:
This is a combination problem.
For appetizers
= 5C2
= 10.
For drinks
= 3C2
= 3.
For sandwiches
= 4C2
= 6.
No. Of combinations scot can choose for his party
= 10*6*3
= 180
Scot can choose a total of 180 combinations for his party.