Plz solve this ans = 4400

Mathematics

1 answer:

Georgia [21]3 years ago

3 0

The total surface area of the solid is 4651 sq cm

Step-by-step explanation:

Given,

The diameter of the base = 16 cm

Length of the cylindrical part (h) = 75 cm

The height of the solid = 90 cm

So, the radius of the base(r) = $\frac{16}{2}$ cm = 8 cm

The height of the cone = 90 - 75 cm = 15 cm

The slanting height(l) of the cone = $\sqrt{15^{2}+8^{2} }$ cm = 17 cm [ by Pythagoras theorem]

To find the total surface area of the solid

The solid consists of two separate solids that are a cylinder and a cone.

So, total surface area (TSA) of the solid = TSA of cylinder + TSA of cone

To find the TSA pf cylinder

Formula

TSA of cylinder = 2πrh +2πr

=2πr(r+h)

=2 × $\frac{22}{7}$ ×8×(8+75) sq cm

= 4173.7 sq cm (approx)

Again,

To find the TSA pf cone

Formula

TSA of cone = πrl +2πr

=πr(l+2) sq cm

= $\frac{22}{7}$ ×8×(17+2) sq cm

= 477.7 sq cm (approx)

Hence, total surface area (TSA) of the solid = 4173.7 sq cm + 477.7 sq cm

= 4651.4 sq cm

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lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$