Most important questions for board examsurface areas and volumes

The sphere of radius 3.5cm then it's surface area is

• 154cm²

• 144cm²

• 121cm²

• 255cm²

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Formula for curved surface area of cylinder

• $2\pi r^2h$

• $2\pi rh$

• $2\pi r^2h$

• $2\pi r$

The formula to find surface area of a cuboid of length (l), breadth (b) and height (h) is:

• lb+bh+hl

• 2(lb+bh+hl)

• 2(lbh)

• lbh/2

Tags

CCSS.6.G.A.4

T.S.A of hemisphere

• 4πr²

• 3πr²

• 4/3 πr³

• 2/3 πr³

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A cylinder and a cone are of same base radius and height. The ratio of the volume of the cylinder to that of the cone is

• 3:1

• 1:1

• 1:3

• 2:3

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Formula for calculating volume of hemisphere is

• $\frac{4}{3}\pi r^3$

• $\frac{2}{3}\pi r^2$

• $\frac{4}{3}\pi r^2$

• $\frac{2}{3}\pi r^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The Curved surface area of a right circular cylinder is 4.4 sq.cm. The radius of the base is 0.7 cm. The height of cylinder will be:

• 2cm

• 3cm

• 1cm

• 1.5cm

Consider a hollow cylinder having external radius R, internal radius r and height h. Volume of the material

• $\pi r^2h$

• $\pi\left(R^2-r^2\right)h$

• $\pi\left(R-r\right)^2h$

• $\pi\left(h^2-r^2\right)R$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

slant height,  $l=$  

•  $r+h$  

•  $r^2+h^2$  

•  $\sqrt{r+h}$  

•  $\sqrt{r^2+h^2}$  

Tags

CCSS.7.G.B.6

CSA of a cone

• πrl

• 2πrh

• 4πr²

• 4a²