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Sav [38]
2 years ago
12

what is the volume of a cone if the radius is 6mm and the height is 4mm. Round your answer to the nearest tenth. use 3.14 for pi

. ​
Mathematics
1 answer:
Vladimir79 [104]2 years ago
5 0

Answer:

163.2 cubic millimeters (or) 163.2 mm^3

Step-by-step explanation:

Given: Radius of cone= 6mm

Height of cone= 4mm

π= 3.14(Approximately)

Required: Volume(V)

Volume of cone= 1/3* π* r^2 * h

Volume= 1/3* (3.14) * (6 m)^2 * (4m)

= 1/3* (3.14) * (36) * (4)

= 163.2 mm^3

Therefore, the Volume of the cone is 163.2 mm^3 (to the nearest tenth) :)

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What is net worth why do people say he or she is worth that?
Deffense [45]

Answer:

The net worth of a person is the difference between a person's assets (non-financial and financial) that he/she owns and the debt that person owes.

Value of Assets - Debt and liabilities = Net Worth

5 0
2 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
BRIANLIST ANSWER!! Please help on this one question ( if you’re good at this) thanks :))
ivann1987 [24]

Answer:

Step-by-step explanation:

(21²+10²)½ = 23.25= 23.3

5 0
2 years ago
Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manag
Triss [41]

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86,  n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))            

p( non is defective ) =  ( 81 / 86) × (80/85)

p( non is defective ) =  0.8865

Therefore, the probability that the shipment is accepted is 0.8865

7 0
2 years ago
Calculate the volume of a sphere with a radius of 10 feet. Round answer to nearest tenth
jasenka [17]

Answer:

10

Step-by-step explanation:

-$($($:#;#

xgsiskdnd

hope it helps

6 0
2 years ago
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