All categories

4 years ago

Two similar cones have matching heights and radii whose lengths are in the ratio 7:1 Find the ratio of their surface areas.

Mathematics

1 answer:

goldenfox [79]4 years ago

5 0

Answer:

surface area ratio = 49/1 = 49

Step-by-step explanation:

Two solid figure are similar when they have the same shape and the ratio of their corresponding sides are proportional.

Therefore the ratio of their surface area is the side ratio squared.

For a similar shape the ratio of their surface area is the squared of the scaled factor.

The ratio can be represented as a/b, therefore the surface area ratio can then be represented as (a/b)². Therefore,

7:1 or 7/1

The surface area ratio = (7/1)²

surface area ratio = 49/1 = 49

You might be interested in

Yesterday, a local radio station played 85 songs prior to 10 a.m. The station also played 10 songs per hour for the remainder of

Sidana [21]

Hey there!

B. y =10x + 85

Hope this helps!

8 0

4 years ago

The optimal height h of the letters of a message printed on pavement is given by the formula <img src="https://tex.z-dn.net/?f=h

choli [55]

Answer:

The value of h is 42.956 approximately.

Step-by-step explanation:

Consider the provided formula $h=\dfrac{0.00252 d^{2.27}}{e}.$

Here d is the distance of the driver from the letters and e is the height of the driver's eye above the pavement. All of the distances are in meters.

We need to find the value of h where the value of d = 92.4 m, e = 1.7 m.

Substitute d = 92.4 m, e = 1.7 m in above formula and solve for h.

$h=\dfrac{0.00252\left(92.4\right)^{2.27}}{1.7}$

$h\approx\dfrac{0.00252\left(28978.4648\right)}{1.7}$

$h\approx\dfrac{73.0257}{1.7}$

$h\approx42.956$

Hence, the value of h is 42.956 approximately.

8 0

3 years ago

I need to know what the answer is the question is Josie bikes 40 miles each months for five months she multiplies 40×5 what unit

sleet_krkn [62]

The product would be 200 obliviously it would be miles because it says five months so it’s implying that you need to find the amount biked in 5 months

So it’s should be miles

3 0

3 years ago

A sports ball has a diameter of 27 cm. Find the volume of the ball.

Nat2105 [25]

Answer:

10,305.99 cm^3

Step-by-step explanation:

V=4/3πr^3=4/3·π·13.5^3≈10305.9947

7 0

3 years ago

Read 2 more answers

In a pet shop, there are 15 kittens and 20 puppies. 25 of the kittens and puppies have beige fur. Ten of these beige fur animals

nadya68 [22]

This is the theory of probability. We are required to calculate the probability that an animal picked at random is a beige fur kitten given that there are 15 kittens and 20 puppies and the number of beige fur kittens and puppies is 25.
P(picking a kitten)=(number of kittens)/(total number of animals)
=15/35
=3/7
probability of an animal being beige fur is;
25/35
=5/7
The probability that the kitten selected is a beige fur will be:
3/7*5/7
= 15/49

8 0

4 years ago