Question

Write formula :
1) Volume of sphere 2) Volume of cylinder
3) Volume of cone 4) Curved surface area of cylinder
5) Curved surface area of cone
6) Surface area of sphere
7) Total surface area of cylinder
8) Total surface area of cone​

Answer 1

$\qquad\quad\boxed{\underline{\underline{\pink{\bigstar \: \bf\:Formulas\:\bigstar}}}}$

$\sf 1)\:Volume\:of\:Sphere\: = \dfrac{4}{3} \pi r^3$

$\sf 2)\:Volume\:of\:Cylinder\: = \pi r^2h$

$\sf 3)\:Volume\:of\:Cone\: = \dfrac{1}{3} \pi r^2h$

$\sf 4)\:Curved\:Surface\: Area\:of\:Cylinder\: = 2 \pi rh$

$\sf 5)\:Curved\:Surface\: Area\:of\:Cone\: = \pi rl$

$\sf 6)\:Surface\:area\:of\:Sphere\: = 4 \pi r^2$

$\sf 7)\:Total\:Surface\: Area\:of\:Cylinder\: = 2 \pi r \bigg\lgroup r + h \bigg\rgroup$

$\sf 8)\:Total\:Surface\: Area\:of\:Cone\: = \pi r\bigg\lgroup r + l \bigg\rgroup$

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$\qquad\qquad\boxed{\underline{\underline{\purple{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}}$

• ${\underline{\underline{\sf{\red{Sphere}}}}}$ = The sphere is a space figure having all its points an equal distance from the center point.

• ${\underline{\underline{\sf{\red{Cylinder}}}}}$ = A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

• ${\underline{\underline{\sf{\red{Cone}}}}}$ = A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base.

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$\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area\ formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}$