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

Answer 2

Answer:

$\boxed{\bold{\large{Formulas :-}}}$

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

2) Volume of cylinder = $\sf{\pi}{r}^{2}h$

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

4) Curved surface area or C.S.A of cylinder = $\sf2{\pi}rh$

5) Curved surface area or C.S.A of cone = $\sf{\pi}rl$

6) Surface area of sphere = $\sf4{\pi}{r}^{2}$

7) Total surface area or T.S.A of cylinder = $\sf2{\pi}r(r +h)$

8) Total surface area or T.S.A of cone = $\sf{\pi}r(l + r)$

where,

• r = Radius
• l = Slant length
• h = Height

★ Extra Information ★

➠ Sphere :-

• A sphere is three dimensional and geometrical shapes which has all its surface point from a common point.
• Example of sphere are : Football, basketball, globe, planet etc.

Properties of a sphere :

1. A sphere is a perfectly symmetrical.
2. All the points on the surface are equidistant from the centre.

➠ Cylinder :-

• A cylinder is a three dimensional solid that holds two parallel bases join by a curved surface at a fixed distance.
• Example of cylinder are : pipe, cold drink cane etc.

Properties of a cylinder :-

1. The base of the cylinder are always congruent and parallel to each other.
2. A cylinder is similar to the prism because it has the same cross section everywhere.

➠ Cone :-

• A cone is a distinctive three dimensional geometric figure which has a flat surface area and a curved surface area.
• Example of cone : Ice cream cone, funnel etc.

Properties of a cone :-

1. A cone has only one faces, which is the circular base but no edges.
2. A cone has only one apex.