Question

Jane plans to make a conical party hat for her brother's birthday. Each party hat has a radius of 4 in and height of 12 in. How much material does she need if she wants to make 15 hats?


Ans & Solution, Thanks ​

Answer 1

Answer:

Required material = 2384 in²

Explanation:

Jane plans to make a conical party hat for her brother's birthday.

Each party hat has a radius of 4 in and height of 12 in.

Using Pythagoras theorem,

$AB =\sqrt{(AO^2+BO^2 )} \\= \sqrt{(4^2+12^2 )} \\= \sqrt{(160 )} \\=4\sqrt{10}$

Lateral area =

$=\pi * r* l\\=\pi *4*4\sqrt{10} \\=158.95 in^2$

Required material =

= 158.95*15

= 2384 in²

Required material = 2384 in²

Multiplication:

In mathematics, multiplying the numbers is used to find the product of two or more numbers. We carry out one of the basic mathematical operations on a regular basis. The main application that is obvious is using multiplication tables. Mathematicians use the multiplication of two integers to express the repeated addition of one number to another. These numbers can be natural numbers, fractions, integers, whole numbers, etc. M is either added to itself 'n' times or subtracted from itself when m is multiplied by n. Similar to multiplying integers, calculating the product of decimals follows the same steps. The position of the decimal (.) needs to be taken into account after multiplication.

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