Surface area of a frustum

Q.

The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum(in $c{m}^2$).

1. $56c{m}^2$

2. $40c{m}^2$

3. $52c{m}^2$

4. $48c{m}^2$

Q.
Total surface area of frustum of cone
= $\pi l(r_1+r_2)+\pi {r_1}^2+\pi {r_2}^2$

1. False
2. True

Q. Consider a frustum of cone with larger and smaller radius equal to $r_{1}and{r}_2$, respectively. Then, the total surface area of frustum of a cone is $\pi l(r_1+r_2)+\pi (r_1^2+r_2^2)$. if correct enter 1 else enter 0

Q.
Total surface area of frustum of cone
= $\pi l(r_1+r_2)+\pi {r_1}^2+\pi {r_2}^2$

1. False
2. True

Q. Find the surface area of a frustum of cone given below: (Use = $\pi$ 3.14)

1. 854.6856 m${}^2$
2. 754.6856 m${}^2$
3. 954.6856 m${}^2$
4. 654.6856 m${}^2$

Q. Find the surface area of a frustum of a given cone: (Use $\pi$ $=3.14$)

1. $1,398.26$ in${}^2$
2. $1,298.26$ in${}^2$
3. $1,598.26$ in${}^2$
4. $1,498.26$ in${}^2$

Q. The curved surface area of a frustum cone is 250 m${}^2$. The larger circle area is 120 m${}^2$. The total surface area is 1000 m${}^2$. Find the smaller circle area of a cone.

1. 630 m${}^2$
2. 620 m${}^2$
3. 610 m${}^2$
4. 600 m${}^2$

Q. Find the area of copper sheet required to make a bucket of height 8 cm and radii 9 cm and 3 cm.

1. $109c{m}^2$
2. $129c{m}^2$
3. $129\pi c{m}^2$
4. $105c{m}^2$

Q. The base and top radius of a truncated cone is 20 mm and 10 mm respectively. The height of the cone is 360 mm. What is the volume of a truncated cone? (Use $\pi$ = 3).

1. $252,000mm$${}^3$
2. $222,000mm$${}^3$
3. $232,000mm$${}^3$
4. $242,000mm$${}^3$

Q.
Total surface area of frustum of cone
= $\pi l(r_1+r_2)+\pi {r_1}^2+\pi {r_2}^2$

1. False
2. True

Q. A bucket made up of a metal sheet is in the form of a frustum of a cone of height $16$ cm and radii of its lower and upper ends are $8$ cm and $20$ cm respectively. Find the cost of the bucket if the cost of metal sheet used is Rs. $15$ per $100c{m}^2$

Q.

The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum(in $c{m}^2$).

1. $56c{m}^2$

2. $40c{m}^2$

3. $52c{m}^2$

4. $48c{m}^2$

Q.

The frustum cone curved surface area is 230 $\pi c{m}^2$. The upper and lower circle area of a cone is 12.5 and 16.5 cm. Find the total surface area. (Use $\pi$ = 3.14).

1. 721.2 $c{m}^3$
2. 711.2 $c{m}^3$
3. 751.2 $c{m}^3$
4. 731.2 $c{m}^3$

Q. The curved surface area of a frustum cone is 34.7 in${}^2$. The smaller circle area is 15.8 in${}^2$. The total surface area is 70.5 in${}^2$. Find the larger circle area of a cone.

1. 30 in${}^2$
2. 10 in${}^2$
3. 40 in${}^2$
4. 20 in${}^2$