An inverted cone of vertical height 12cm and base radius 9cm contains water to a depth of 4 cm. find the area of the interior surface of the cone not in contact with the water.

Area of the interior surface of the cone not in contact with the water is 377.14 cm² .

Step-by-step explanation:

Since we have given that

Height of an inverted cone = 12 cm

Radius of an inverted cone = 9 cm

According to question, this inverted cone has contained water to a depth of 4 cm.

And we need to find the area of interior surface of the cone not in contact with the water.

So, it forms frustum of cone.

By similarity of triangles as shown in the figure below:

And height of frustum = 12-4=8 cm

As we know the formula for "Curved surface area of frustum ":

So, First we find slant height 'l':

So, Area is given by

Hence, Area of the interior surface of the cone not in contact with the water is 377.14 cm² .

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

the answer is ! ?