Surface area of three dimensional

Step-by-step explanation:

π×r² gets you the surface area of the circle on the bottom. You gotta remember πr². So π×(6cm)² = π×36cm² = 36π cm²

π×L×r gets you the surface area of the cone shape, where L is the diagonal length of the cone, or "sLant height". There are reasons, but I just trust the math pros on this. REMEMBER THIS.

a²+b²=c². Remember that? Pythagorean theorem. you can use it to figure out the length of the sides of a right triangle. This cone has a right triangle. Let's use it.

6²+8²=c², so 36+64=c², so 100=c², so c==10, AKA the diagonal L for our problem.

Ok, π×L×r gives us the area of the cone. r=6 L=10, making the cone have a surface area of 10cm×6cm×π = π×60cm² = 60πcm²

...And the bottom circle is 36π cm², So 36π+60π=96π

This is important to know. Are you sure you didn't just scan your whole homework paper?

36π+60π cm². Or 96π cm².

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)