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4 years ago

Need help not sure if my question is true or false

Mathematics

1 answer:

Alika [10]4 years ago

7 0

The answer is false. The radius is half the diameter, not 2 times it.

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The radius of a right circular cone is increasing at a rate of 2 inches per second and its height is decreasing at a rate of 4 i

irina [24]

Answer:

The volume of cone changing at rate $\frac{400}{3}\pi in^3/s$

Step-by-step explanation:

Let r be the radius of cone and h be the height of cone

$\frac{dr}{dt}=2 in/s$

$\frac{dh}{dt}=-4 in/s$

We have to find the rate at which the volume of cone changing when r=10 in and h=20 in

Volume of cone

$V=\frac{1}{3}\pi r^2 h$

Differentiate w.r.t t

$\frac{dV}{dt}=\frac{1}{3}\pi (2rh\frac{dr}{dt}+r^2\frac{dh}{dt})$

Substitute the values

$\frac{dV}{dt}=\frac{1}{3}\pi(2\times 10\times 20\times 2+(10)^2\times (-4))$

$\frac{dV}{dt}=\frac{1}{3}\pi(400)=\frac{400}{3}\pi in^3/s$

Hence, the volume of cone changing at rate $\frac{400}{3}\pi in^3/s$

4 0

3 years ago

Please help me with this it would be very much appreciated thanks

irakobra [83]

Given that JKV is a triangle.

We need to determine the translated image of the coordinate V using the rule $(x, y) \rightarrow(x-3, y+6)$

New point V:

The coordinate of the point V is (4,-1)

The new point V can be determined using the rule $(x, y) \rightarrow(x-3, y+6)$

Now, substituting the point (4,-1) in the rule, we get;

New point = $(4-3,-1+6)$

Simplifying the terms, we get;

New point = $(1,5)$

Thus, the coordinate of the new point V is (1,5)

7 0

4 years ago

Round 8.984 to nearest hundredths, tenths, ones and tens

Marta_Voda [28]

Hundredths: 8.98
Tenths: 9 whole
ones: 9 whole
tens: there is none

4 0

4 years ago

Read 2 more answers

Ross will make a water balloon that can be modeled with a sphere. A constraint he must consider is that when the radius of the b

vazorg [7]

Answer: no

Step-by-step explanation:

7 0

3 years ago

Write the prime factorization of each number using exponents 20

weqwewe [10]

The number 20 is a composite number so, it is possible to factorize it. In other words, 20 can be divided by 1, by itself and at least by 2 and 5. A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In other words, a composite number is any integer greater than one that is not a prime number.

The prime factorization of 20 = 22•5.

The prime factors of 20 are 2 and 5.

7 0

4 years ago